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Finding the Fourth Proportional to 529,254.16, 730,209.86 and 299,775

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Solution

The fourth proportional to 529,254.16, 730,209.86 and 299,775 is: 413,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,254.16 : 730,209.86 = 299,775 : x
  2. Step 2: Convert to fraction form
    529,254.16/730,209.86 = 299,775/x
  3. Step 3: Cross multiply
    529,254.16x = 730,209.86 × 299,775
  4. Step 4: Simplify right side
    529,254.16x = 218,898,660,781.50
  5. Step 5: Solve for x
    x = 218,898,660,781.50/529,254.16
  6. Step 6: Final answer
    x = 413,598.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.