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Finding the Fourth Proportional to 470,095.38, 649,265.76 and 316,869.30

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Solution

The fourth proportional to 470,095.38, 649,265.76 and 316,869.30 is: 437,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,095.38 : 649,265.76 = 316,869.30 : x
  2. Step 2: Convert to fraction form
    470,095.38/649,265.76 = 316,869.30/x
  3. Step 3: Cross multiply
    470,095.38x = 649,265.76 × 316,869.30
  4. Step 4: Simplify right side
    470,095.38x = 205,732,386,885.17
  5. Step 5: Solve for x
    x = 205,732,386,885.17/470,095.38
  6. Step 6: Final answer
    x = 437,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.