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Finding the Fourth Proportional to 364,970.17, 546,691.84 and 293,505.85

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Solution

The fourth proportional to 364,970.17, 546,691.84 and 293,505.85 is: 439,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,970.17 : 546,691.84 = 293,505.85 : x
  2. Step 2: Convert to fraction form
    364,970.17/546,691.84 = 293,505.85/x
  3. Step 3: Cross multiply
    364,970.17x = 546,691.84 × 293,505.85
  4. Step 4: Simplify right side
    364,970.17x = 160,457,253,187.26
  5. Step 5: Solve for x
    x = 160,457,253,187.26/364,970.17
  6. Step 6: Final answer
    x = 439,644.84

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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.