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Finding the Fourth Proportional to 402,714.20, 604,265.70 and 284,130.20

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Solution

The fourth proportional to 402,714.20, 604,265.70 and 284,130.20 is: 426,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,714.20 : 604,265.70 = 284,130.20 : x
  2. Step 2: Convert to fraction form
    402,714.20/604,265.70 = 284,130.20/x
  3. Step 3: Cross multiply
    402,714.20x = 604,265.70 × 284,130.20
  4. Step 4: Simplify right side
    402,714.20x = 171,690,134,194.14
  5. Step 5: Solve for x
    x = 171,690,134,194.14/402,714.20
  6. Step 6: Final answer
    x = 426,332.46

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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.