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Finding the Fourth Proportional to 462,402.25, 693,603.38 and 129,978.25

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Solution

The fourth proportional to 462,402.25, 693,603.38 and 129,978.25 is: 194,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,402.25 : 693,603.38 = 129,978.25 : x
  2. Step 2: Convert to fraction form
    462,402.25/693,603.38 = 129,978.25/x
  3. Step 3: Cross multiply
    462,402.25x = 693,603.38 × 129,978.25
  4. Step 4: Simplify right side
    462,402.25x = 90,153,353,526.49
  5. Step 5: Solve for x
    x = 90,153,353,526.49/462,402.25
  6. Step 6: Final answer
    x = 194,967.38

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Similar ratio
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1.5x scale

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.