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Finding the Fourth Proportional to 542,859.30, 814,288.95 and 455,768.10

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Solution

The fourth proportional to 542,859.30, 814,288.95 and 455,768.10 is: 683,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,859.30 : 814,288.95 = 455,768.10 : x
  2. Step 2: Convert to fraction form
    542,859.30/814,288.95 = 455,768.10/x
  3. Step 3: Cross multiply
    542,859.30x = 814,288.95 × 455,768.10
  4. Step 4: Simplify right side
    542,859.30x = 371,126,927,592.50
  5. Step 5: Solve for x
    x = 371,126,927,592.50/542,859.30
  6. Step 6: Final answer
    x = 683,652.15

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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.