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Finding the Fourth Proportional to 462,000.66, 691,549.14 and 293,711.01

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Solution

The fourth proportional to 462,000.66, 691,549.14 and 293,711.01 is: 439,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,000.66 : 691,549.14 = 293,711.01 : x
  2. Step 2: Convert to fraction form
    462,000.66/691,549.14 = 293,711.01/x
  3. Step 3: Cross multiply
    462,000.66x = 691,549.14 × 293,711.01
  4. Step 4: Simplify right side
    462,000.66x = 203,115,598,772.10
  5. Step 5: Solve for x
    x = 203,115,598,772.10/462,000.66
  6. Step 6: Final answer
    x = 439,643.52

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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.