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Finding the Fourth Proportional to 314,732.64, 472,448.88 and 309,833.76

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Solution

The fourth proportional to 314,732.64, 472,448.88 and 309,833.76 is: 465,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,732.64 : 472,448.88 = 309,833.76 : x
  2. Step 2: Convert to fraction form
    314,732.64/472,448.88 = 309,833.76/x
  3. Step 3: Cross multiply
    314,732.64x = 472,448.88 × 309,833.76
  4. Step 4: Simplify right side
    314,732.64x = 146,380,612,898.19
  5. Step 5: Solve for x
    x = 146,380,612,898.19/314,732.64
  6. Step 6: Final answer
    x = 465,095.11

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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.