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Finding the Fourth Proportional to 464,552.92, 696,358.76 and 314,808.35

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Solution

The fourth proportional to 464,552.92, 696,358.76 and 314,808.35 is: 471,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,552.92 : 696,358.76 = 314,808.35 : x
  2. Step 2: Convert to fraction form
    464,552.92/696,358.76 = 314,808.35/x
  3. Step 3: Cross multiply
    464,552.92x = 696,358.76 × 314,808.35
  4. Step 4: Simplify right side
    464,552.92x = 219,219,554,771.56
  5. Step 5: Solve for x
    x = 219,219,554,771.56/464,552.92
  6. Step 6: Final answer
    x = 471,893.61

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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.