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Finding the Fourth Proportional to 343,007.60, 514,511.40 and 106,374.20

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Solution

The fourth proportional to 343,007.60, 514,511.40 and 106,374.20 is: 159,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,007.60 : 514,511.40 = 106,374.20 : x
  2. Step 2: Convert to fraction form
    343,007.60/514,511.40 = 106,374.20/x
  3. Step 3: Cross multiply
    343,007.60x = 514,511.40 × 106,374.20
  4. Step 4: Simplify right side
    343,007.60x = 54,730,738,565.88
  5. Step 5: Solve for x
    x = 54,730,738,565.88/343,007.60
  6. Step 6: Final answer
    x = 159,561.30

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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.