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Finding the Fourth Proportional to 472,710.94, 709,072.56 and 157,167.84

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Solution

The fourth proportional to 472,710.94, 709,072.56 and 157,167.84 is: 235,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,710.94 : 709,072.56 = 157,167.84 : x
  2. Step 2: Convert to fraction form
    472,710.94/709,072.56 = 157,167.84/x
  3. Step 3: Cross multiply
    472,710.94x = 709,072.56 × 157,167.84
  4. Step 4: Simplify right side
    472,710.94x = 111,443,404,875.46
  5. Step 5: Solve for x
    x = 111,443,404,875.46/472,710.94
  6. Step 6: Final answer
    x = 235,753.81

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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.