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Finding the Fourth Proportional to 343,051.40, 514,577.10 and 156,062.90

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Solution

The fourth proportional to 343,051.40, 514,577.10 and 156,062.90 is: 234,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,051.40 : 514,577.10 = 156,062.90 : x
  2. Step 2: Convert to fraction form
    343,051.40/514,577.10 = 156,062.90/x
  3. Step 3: Cross multiply
    343,051.40x = 514,577.10 × 156,062.90
  4. Step 4: Simplify right side
    343,051.40x = 80,306,394,499.59
  5. Step 5: Solve for x
    x = 80,306,394,499.59/343,051.40
  6. Step 6: Final answer
    x = 234,094.35

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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.