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Finding the Fourth Proportional to 472,044.84, 707,914.14 and 156,417

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Solution

The fourth proportional to 472,044.84, 707,914.14 and 156,417 is: 234,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,044.84 : 707,914.14 = 156,417 : x
  2. Step 2: Convert to fraction form
    472,044.84/707,914.14 = 156,417/x
  3. Step 3: Cross multiply
    472,044.84x = 707,914.14 × 156,417
  4. Step 4: Simplify right side
    472,044.84x = 110,729,806,036.38
  5. Step 5: Solve for x
    x = 110,729,806,036.38/472,044.84
  6. Step 6: Final answer
    x = 234,574.76

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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.