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Finding the Fourth Proportional to 529,483.23, 730,793.14 and 314,581.93

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Solution

The fourth proportional to 529,483.23, 730,793.14 and 314,581.93 is: 434,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,483.23 : 730,793.14 = 314,581.93 : x
  2. Step 2: Convert to fraction form
    529,483.23/730,793.14 = 314,581.93/x
  3. Step 3: Cross multiply
    529,483.23x = 730,793.14 × 314,581.93
  4. Step 4: Simplify right side
    529,483.23x = 229,894,313,798.52
  5. Step 5: Solve for x
    x = 229,894,313,798.52/529,483.23
  6. Step 6: Final answer
    x = 434,186.20

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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.