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Finding the Fourth Proportional to 343,225.40, 514,838.10 and 185,761.40

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Solution

The fourth proportional to 343,225.40, 514,838.10 and 185,761.40 is: 278,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,225.40 : 514,838.10 = 185,761.40 : x
  2. Step 2: Convert to fraction form
    343,225.40/514,838.10 = 185,761.40/x
  3. Step 3: Cross multiply
    343,225.40x = 514,838.10 × 185,761.40
  4. Step 4: Simplify right side
    343,225.40x = 95,637,046,229.34
  5. Step 5: Solve for x
    x = 95,637,046,229.34/343,225.40
  6. Step 6: Final answer
    x = 278,642.10

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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.