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Finding the Fourth Proportional to 542,802.80, 814,204.20 and 402,834.80

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Solution

The fourth proportional to 542,802.80, 814,204.20 and 402,834.80 is: 604,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,802.80 : 814,204.20 = 402,834.80 : x
  2. Step 2: Convert to fraction form
    542,802.80/814,204.20 = 402,834.80/x
  3. Step 3: Cross multiply
    542,802.80x = 814,204.20 × 402,834.80
  4. Step 4: Simplify right side
    542,802.80x = 327,989,786,066.16
  5. Step 5: Solve for x
    x = 327,989,786,066.16/542,802.80
  6. Step 6: Final answer
    x = 604,252.20

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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.