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Finding the Fourth Proportional to 474,530.66, 711,649.51 and 137,596.14

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Solution

The fourth proportional to 474,530.66, 711,649.51 and 137,596.14 is: 206,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,530.66 : 711,649.51 = 137,596.14 : x
  2. Step 2: Convert to fraction form
    474,530.66/711,649.51 = 137,596.14/x
  3. Step 3: Cross multiply
    474,530.66x = 711,649.51 × 137,596.14
  4. Step 4: Simplify right side
    474,530.66x = 97,920,224,920.91
  5. Step 5: Solve for x
    x = 97,920,224,920.91/474,530.66
  6. Step 6: Final answer
    x = 206,351.74

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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.