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Finding the Fourth Proportional to 467,095.34, 701,488.65 and 429,588.29

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Solution

The fourth proportional to 467,095.34, 701,488.65 and 429,588.29 is: 645,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,095.34 : 701,488.65 = 429,588.29 : x
  2. Step 2: Convert to fraction form
    467,095.34/701,488.65 = 429,588.29/x
  3. Step 3: Cross multiply
    467,095.34x = 701,488.65 × 429,588.29
  4. Step 4: Simplify right side
    467,095.34x = 301,351,309,607.91
  5. Step 5: Solve for x
    x = 301,351,309,607.91/467,095.34
  6. Step 6: Final answer
    x = 645,160.17

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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.