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Finding the Fourth Proportional to 342,746.64, 514,236.60 and 176,418

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Solution

The fourth proportional to 342,746.64, 514,236.60 and 176,418 is: 264,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,746.64 : 514,236.60 = 176,418 : x
  2. Step 2: Convert to fraction form
    342,746.64/514,236.60 = 176,418/x
  3. Step 3: Cross multiply
    342,746.64x = 514,236.60 × 176,418
  4. Step 4: Simplify right side
    342,746.64x = 90,720,592,498.80
  5. Step 5: Solve for x
    x = 90,720,592,498.80/342,746.64
  6. Step 6: Final answer
    x = 264,687.04

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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.