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Finding the Fourth Proportional to 436,123.20, 654,055.20 and 169,730.40

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Solution

The fourth proportional to 436,123.20, 654,055.20 and 169,730.40 is: 254,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,123.20 : 654,055.20 = 169,730.40 : x
  2. Step 2: Convert to fraction form
    436,123.20/654,055.20 = 169,730.40/x
  3. Step 3: Cross multiply
    436,123.20x = 654,055.20 × 169,730.40
  4. Step 4: Simplify right side
    436,123.20x = 111,013,050,718.08
  5. Step 5: Solve for x
    x = 111,013,050,718.08/436,123.20
  6. Step 6: Final answer
    x = 254,545.16

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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.