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Finding the Fourth Proportional to 434,294.30, 651,528.52 and 149,995.28

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Solution

The fourth proportional to 434,294.30, 651,528.52 and 149,995.28 is: 225,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,294.30 : 651,528.52 = 149,995.28 : x
  2. Step 2: Convert to fraction form
    434,294.30/651,528.52 = 149,995.28/x
  3. Step 3: Cross multiply
    434,294.30x = 651,528.52 × 149,995.28
  4. Step 4: Simplify right side
    434,294.30x = 97,726,199,152.75
  5. Step 5: Solve for x
    x = 97,726,199,152.75/434,294.30
  6. Step 6: Final answer
    x = 225,022.98

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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.