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Finding the Fourth Proportional to 461,657.60, 692,680.80 and 251,446.40

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Solution

The fourth proportional to 461,657.60, 692,680.80 and 251,446.40 is: 377,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,657.60 : 692,680.80 = 251,446.40 : x
  2. Step 2: Convert to fraction form
    461,657.60/692,680.80 = 251,446.40/x
  3. Step 3: Cross multiply
    461,657.60x = 692,680.80 × 251,446.40
  4. Step 4: Simplify right side
    461,657.60x = 174,172,093,509.12
  5. Step 5: Solve for x
    x = 174,172,093,509.12/461,657.60
  6. Step 6: Final answer
    x = 377,275.48

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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.