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Finding the Fourth Proportional to 340,291.32, 510,061.10 and 140,501.56

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Solution

The fourth proportional to 340,291.32, 510,061.10 and 140,501.56 is: 210,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.32 : 510,061.10 = 140,501.56 : x
  2. Step 2: Convert to fraction form
    340,291.32/510,061.10 = 140,501.56/x
  3. Step 3: Cross multiply
    340,291.32x = 510,061.10 × 140,501.56
  4. Step 4: Simplify right side
    340,291.32x = 71,664,380,245.32
  5. Step 5: Solve for x
    x = 71,664,380,245.32/340,291.32
  6. Step 6: Final answer
    x = 210,597.14

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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.