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Finding the Fourth Proportional to 357,895.74, 536,449.94 and 147,418.86

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Solution

The fourth proportional to 357,895.74, 536,449.94 and 147,418.86 is: 220,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,895.74 : 536,449.94 = 147,418.86 : x
  2. Step 2: Convert to fraction form
    357,895.74/536,449.94 = 147,418.86/x
  3. Step 3: Cross multiply
    357,895.74x = 536,449.94 × 147,418.86
  4. Step 4: Simplify right side
    357,895.74x = 79,082,838,601.87
  5. Step 5: Solve for x
    x = 79,082,838,601.87/357,895.74
  6. Step 6: Final answer
    x = 220,966.14

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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.