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Finding the Fourth Proportional to 478,424.05, 717,386.90 and 225,636.66

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Solution

The fourth proportional to 478,424.05, 717,386.90 and 225,636.66 is: 338,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,424.05 : 717,386.90 = 225,636.66 : x
  2. Step 2: Convert to fraction form
    478,424.05/717,386.90 = 225,636.66/x
  3. Step 3: Cross multiply
    478,424.05x = 717,386.90 × 225,636.66
  4. Step 4: Simplify right side
    478,424.05x = 161,868,784,043.75
  5. Step 5: Solve for x
    x = 161,868,784,043.75/478,424.05
  6. Step 6: Final answer
    x = 338,337.47

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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.