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Finding the Fourth Proportional to 377,589.53, 566,158.10 and 256,159.19

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Solution

The fourth proportional to 377,589.53, 566,158.10 and 256,159.19 is: 384,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,589.53 : 566,158.10 = 256,159.19 : x
  2. Step 2: Convert to fraction form
    377,589.53/566,158.10 = 256,159.19/x
  3. Step 3: Cross multiply
    377,589.53x = 566,158.10 × 256,159.19
  4. Step 4: Simplify right side
    377,589.53x = 145,026,596,196.35
  5. Step 5: Solve for x
    x = 145,026,596,196.35/377,589.53
  6. Step 6: Final answer
    x = 384,085.33

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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.