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Finding the Fourth Proportional to 461,713.60, 692,570.40 and 237,764.80

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Solution

The fourth proportional to 461,713.60, 692,570.40 and 237,764.80 is: 356,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,713.60 : 692,570.40 = 237,764.80 : x
  2. Step 2: Convert to fraction form
    461,713.60/692,570.40 = 237,764.80/x
  3. Step 3: Cross multiply
    461,713.60x = 692,570.40 × 237,764.80
  4. Step 4: Simplify right side
    461,713.60x = 164,668,862,641.92
  5. Step 5: Solve for x
    x = 164,668,862,641.92/461,713.60
  6. Step 6: Final answer
    x = 356,647.20

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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.