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Finding the Fourth Proportional to 434,865.71, 652,314.97 and 119,347.22

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Solution

The fourth proportional to 434,865.71, 652,314.97 and 119,347.22 is: 179,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,865.71 : 652,314.97 = 119,347.22 : x
  2. Step 2: Convert to fraction form
    434,865.71/652,314.97 = 119,347.22/x
  3. Step 3: Cross multiply
    434,865.71x = 652,314.97 × 119,347.22
  4. Step 4: Simplify right side
    434,865.71x = 77,851,980,013.85
  5. Step 5: Solve for x
    x = 77,851,980,013.85/434,865.71
  6. Step 6: Final answer
    x = 179,025.34

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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.