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Finding the Fourth Proportional to 434,897.76, 652,190.40 and 150,511.14

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Solution

The fourth proportional to 434,897.76, 652,190.40 and 150,511.14 is: 225,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,897.76 : 652,190.40 = 150,511.14 : x
  2. Step 2: Convert to fraction form
    434,897.76/652,190.40 = 150,511.14/x
  3. Step 3: Cross multiply
    434,897.76x = 652,190.40 × 150,511.14
  4. Step 4: Simplify right side
    434,897.76x = 98,161,920,601.06
  5. Step 5: Solve for x
    x = 98,161,920,601.06/434,897.76
  6. Step 6: Final answer
    x = 225,712.64

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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.