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Finding the Fourth Proportional to 514,591.30, 772,000.35 and 173,023.06

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Solution

The fourth proportional to 514,591.30, 772,000.35 and 173,023.06 is: 259,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,591.30 : 772,000.35 = 173,023.06 : x
  2. Step 2: Convert to fraction form
    514,591.30/772,000.35 = 173,023.06/x
  3. Step 3: Cross multiply
    514,591.30x = 772,000.35 × 173,023.06
  4. Step 4: Simplify right side
    514,591.30x = 133,573,862,878.07
  5. Step 5: Solve for x
    x = 133,573,862,878.07/514,591.30
  6. Step 6: Final answer
    x = 259,572.72

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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.