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Finding the Fourth Proportional to 549,657.69, 824,938.70 and 234,470.49

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Solution

The fourth proportional to 549,657.69, 824,938.70 and 234,470.49 is: 351,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,657.69 : 824,938.70 = 234,470.49 : x
  2. Step 2: Convert to fraction form
    549,657.69/824,938.70 = 234,470.49/x
  3. Step 3: Cross multiply
    549,657.69x = 824,938.70 × 234,470.49
  4. Step 4: Simplify right side
    549,657.69x = 193,423,780,036.61
  5. Step 5: Solve for x
    x = 193,423,780,036.61/549,657.69
  6. Step 6: Final answer
    x = 351,898.62

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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.