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Finding the Fourth Proportional to 482,730.96, 724,111.37 and 242,854.63

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Solution

The fourth proportional to 482,730.96, 724,111.37 and 242,854.63 is: 364,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,730.96 : 724,111.37 = 242,854.63 : x
  2. Step 2: Convert to fraction form
    482,730.96/724,111.37 = 242,854.63/x
  3. Step 3: Cross multiply
    482,730.96x = 724,111.37 × 242,854.63
  4. Step 4: Simplify right side
    482,730.96x = 175,853,796,726.30
  5. Step 5: Solve for x
    x = 175,853,796,726.30/482,730.96
  6. Step 6: Final answer
    x = 364,289.45

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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.