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Finding the Fourth Proportional to 343,298.70, 514,948.05 and 156,674.70

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Solution

The fourth proportional to 343,298.70, 514,948.05 and 156,674.70 is: 235,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,298.70 : 514,948.05 = 156,674.70 : x
  2. Step 2: Convert to fraction form
    343,298.70/514,948.05 = 156,674.70/x
  3. Step 3: Cross multiply
    343,298.70x = 514,948.05 × 156,674.70
  4. Step 4: Simplify right side
    343,298.70x = 80,679,331,249.34
  5. Step 5: Solve for x
    x = 80,679,331,249.34/343,298.70
  6. Step 6: Final answer
    x = 235,012.05

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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.