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Finding the Fourth Proportional to 501,877.80, 752,816.70 and 461,442.60

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Solution

The fourth proportional to 501,877.80, 752,816.70 and 461,442.60 is: 692,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,877.80 : 752,816.70 = 461,442.60 : x
  2. Step 2: Convert to fraction form
    501,877.80/752,816.70 = 461,442.60/x
  3. Step 3: Cross multiply
    501,877.80x = 752,816.70 × 461,442.60
  4. Step 4: Simplify right side
    501,877.80x = 347,381,695,371.42
  5. Step 5: Solve for x
    x = 347,381,695,371.42/501,877.80
  6. Step 6: Final answer
    x = 692,163.90

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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.