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Finding the Fourth Proportional to 343,206.30, 514,809.45 and 106,572.90

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Solution

The fourth proportional to 343,206.30, 514,809.45 and 106,572.90 is: 159,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,206.30 : 514,809.45 = 106,572.90 : x
  2. Step 2: Convert to fraction form
    343,206.30/514,809.45 = 106,572.90/x
  3. Step 3: Cross multiply
    343,206.30x = 514,809.45 × 106,572.90
  4. Step 4: Simplify right side
    343,206.30x = 54,864,736,033.91
  5. Step 5: Solve for x
    x = 54,864,736,033.91/343,206.30
  6. Step 6: Final answer
    x = 159,859.35

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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.