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Finding the Fourth Proportional to 417,658.32, 626,347.08 and 151,363.08

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Solution

The fourth proportional to 417,658.32, 626,347.08 and 151,363.08 is: 226,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658.32 : 626,347.08 = 151,363.08 : x
  2. Step 2: Convert to fraction form
    417,658.32/626,347.08 = 151,363.08/x
  3. Step 3: Cross multiply
    417,658.32x = 626,347.08 × 151,363.08
  4. Step 4: Simplify right side
    417,658.32x = 94,805,823,177.81
  5. Step 5: Solve for x
    x = 94,805,823,177.81/417,658.32
  6. Step 6: Final answer
    x = 226,993.74

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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.