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Finding the Fourth Proportional to 364,504.60, 546,701.44 and 139,970.78

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Solution

The fourth proportional to 364,504.60, 546,701.44 and 139,970.78 is: 209,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,504.60 : 546,701.44 = 139,970.78 : x
  2. Step 2: Convert to fraction form
    364,504.60/546,701.44 = 139,970.78/x
  3. Step 3: Cross multiply
    364,504.60x = 546,701.44 × 139,970.78
  4. Step 4: Simplify right side
    364,504.60x = 76,522,226,983.92
  5. Step 5: Solve for x
    x = 76,522,226,983.92/364,504.60
  6. Step 6: Final answer
    x = 209,934.87

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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.