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Finding the Fourth Proportional to 343,060.56, 514,566.12 and 106,397.10

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Solution

The fourth proportional to 343,060.56, 514,566.12 and 106,397.10 is: 159,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,060.56 : 514,566.12 = 106,397.10 : x
  2. Step 2: Convert to fraction form
    343,060.56/514,566.12 = 106,397.10/x
  3. Step 3: Cross multiply
    343,060.56x = 514,566.12 × 106,397.10
  4. Step 4: Simplify right side
    343,060.56x = 54,748,342,926.25
  5. Step 5: Solve for x
    x = 54,748,342,926.25/343,060.56
  6. Step 6: Final answer
    x = 159,587.98

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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.