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Finding the Fourth Proportional to 529,023.96, 730,065.15 and 314,164.71

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Solution

The fourth proportional to 529,023.96, 730,065.15 and 314,164.71 is: 433,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,023.96 : 730,065.15 = 314,164.71 : x
  2. Step 2: Convert to fraction form
    529,023.96/730,065.15 = 314,164.71/x
  3. Step 3: Cross multiply
    529,023.96x = 730,065.15 × 314,164.71
  4. Step 4: Simplify right side
    529,023.96x = 229,360,706,130.86
  5. Step 5: Solve for x
    x = 229,360,706,130.86/529,023.96
  6. Step 6: Final answer
    x = 433,554.48

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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.