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Finding the Fourth Proportional to 580,076.91, 869,085.41 and 242,374.14

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Solution

The fourth proportional to 580,076.91, 869,085.41 and 242,374.14 is: 363,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,076.91 : 869,085.41 = 242,374.14 : x
  2. Step 2: Convert to fraction form
    580,076.91/869,085.41 = 242,374.14/x
  3. Step 3: Cross multiply
    580,076.91x = 869,085.41 × 242,374.14
  4. Step 4: Simplify right side
    580,076.91x = 210,643,827,623.43
  5. Step 5: Solve for x
    x = 210,643,827,623.43/580,076.91
  6. Step 6: Final answer
    x = 363,130.86

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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.