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Finding the Fourth Proportional to 434,699.52, 652,053.81 and 119,156.46

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Solution

The fourth proportional to 434,699.52, 652,053.81 and 119,156.46 is: 178,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,699.52 : 652,053.81 = 119,156.46 : x
  2. Step 2: Convert to fraction form
    434,699.52/652,053.81 = 119,156.46/x
  3. Step 3: Cross multiply
    434,699.52x = 652,053.81 × 119,156.46
  4. Step 4: Simplify right side
    434,699.52x = 77,696,423,729.11
  5. Step 5: Solve for x
    x = 77,696,423,729.11/434,699.52
  6. Step 6: Final answer
    x = 178,735.93

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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.