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Finding the Fourth Proportional to 542,805.80, 814,208.70 and 402,837.80

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Solution

The fourth proportional to 542,805.80, 814,208.70 and 402,837.80 is: 604,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,805.80 : 814,208.70 = 402,837.80 : x
  2. Step 2: Convert to fraction form
    542,805.80/814,208.70 = 402,837.80/x
  3. Step 3: Cross multiply
    542,805.80x = 814,208.70 × 402,837.80
  4. Step 4: Simplify right side
    542,805.80x = 327,994,041,448.86
  5. Step 5: Solve for x
    x = 327,994,041,448.86/542,805.80
  6. Step 6: Final answer
    x = 604,256.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.