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Finding the Fourth Proportional to 312,624.62, 468,841.16 and 112,920.38

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Solution

The fourth proportional to 312,624.62, 468,841.16 and 112,920.38 is: 169,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,624.62 : 468,841.16 = 112,920.38 : x
  2. Step 2: Convert to fraction form
    312,624.62/468,841.16 = 112,920.38/x
  3. Step 3: Cross multiply
    312,624.62x = 468,841.16 × 112,920.38
  4. Step 4: Simplify right side
    312,624.62x = 52,941,721,946.84
  5. Step 5: Solve for x
    x = 52,941,721,946.84/312,624.62
  6. Step 6: Final answer
    x = 169,345.98

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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.