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Finding the Fourth Proportional to 397,710.14, 596,211.48 and 144,943.16

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Solution

The fourth proportional to 397,710.14, 596,211.48 and 144,943.16 is: 217,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,710.14 : 596,211.48 = 144,943.16 : x
  2. Step 2: Convert to fraction form
    397,710.14/596,211.48 = 144,943.16/x
  3. Step 3: Cross multiply
    397,710.14x = 596,211.48 × 144,943.16
  4. Step 4: Simplify right side
    397,710.14x = 86,416,772,958.42
  5. Step 5: Solve for x
    x = 86,416,772,958.42/397,710.14
  6. Step 6: Final answer
    x = 217,285.82

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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.