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Finding the Fourth Proportional to 460,612.52, 691,013.10 and 194,373.08

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Solution

The fourth proportional to 460,612.52, 691,013.10 and 194,373.08 is: 291,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,612.52 : 691,013.10 = 194,373.08 : x
  2. Step 2: Convert to fraction form
    460,612.52/691,013.10 = 194,373.08/x
  3. Step 3: Cross multiply
    460,612.52x = 691,013.10 × 194,373.08
  4. Step 4: Simplify right side
    460,612.52x = 134,314,344,567.35
  5. Step 5: Solve for x
    x = 134,314,344,567.35/460,612.52
  6. Step 6: Final answer
    x = 291,599.42

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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.