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Finding the Fourth Proportional to 614,189.86, 847,585.38 and 356,219.71

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Solution

The fourth proportional to 614,189.86, 847,585.38 and 356,219.71 is: 491,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,189.86 : 847,585.38 = 356,219.71 : x
  2. Step 2: Convert to fraction form
    614,189.86/847,585.38 = 356,219.71/x
  3. Step 3: Cross multiply
    614,189.86x = 847,585.38 × 356,219.71
  4. Step 4: Simplify right side
    614,189.86x = 301,926,618,263.84
  5. Step 5: Solve for x
    x = 301,926,618,263.84/614,189.86
  6. Step 6: Final answer
    x = 491,585.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.