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Finding the Fourth Proportional to 288,306.60, 432,458.88 and 77,944.50

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Solution

The fourth proportional to 288,306.60, 432,458.88 and 77,944.50 is: 116,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,306.60 : 432,458.88 = 77,944.50 : x
  2. Step 2: Convert to fraction form
    288,306.60/432,458.88 = 77,944.50/x
  3. Step 3: Cross multiply
    288,306.60x = 432,458.88 × 77,944.50
  4. Step 4: Simplify right side
    288,306.60x = 33,707,791,172.16
  5. Step 5: Solve for x
    x = 33,707,791,172.16/288,306.60
  6. Step 6: Final answer
    x = 116,916.47

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1.5x scale

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.