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Finding the Fourth Proportional to 468,643.90, 702,965.85 and 343,306.30

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Solution

The fourth proportional to 468,643.90, 702,965.85 and 343,306.30 is: 514,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.90 : 702,965.85 = 343,306.30 : x
  2. Step 2: Convert to fraction form
    468,643.90/702,965.85 = 343,306.30/x
  3. Step 3: Cross multiply
    468,643.90x = 702,965.85 × 343,306.30
  4. Step 4: Simplify right side
    468,643.90x = 241,332,604,989.86
  5. Step 5: Solve for x
    x = 241,332,604,989.86/468,643.90
  6. Step 6: Final answer
    x = 514,959.45

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Similar ratio
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1.5x scale

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.