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Finding the Fourth Proportional to 356,715.30, 534,619.35 and 146,115.30

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Solution

The fourth proportional to 356,715.30, 534,619.35 and 146,115.30 is: 218,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,715.30 : 534,619.35 = 146,115.30 : x
  2. Step 2: Convert to fraction form
    356,715.30/534,619.35 = 146,115.30/x
  3. Step 3: Cross multiply
    356,715.30x = 534,619.35 × 146,115.30
  4. Step 4: Simplify right side
    356,715.30x = 78,116,066,711.06
  5. Step 5: Solve for x
    x = 78,116,066,711.06/356,715.30
  6. Step 6: Final answer
    x = 218,987.15

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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.