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Finding the Fourth Proportional to 397,342.10, 596,013.15 and 160,562.90

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Solution

The fourth proportional to 397,342.10, 596,013.15 and 160,562.90 is: 240,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,342.10 : 596,013.15 = 160,562.90 : x
  2. Step 2: Convert to fraction form
    397,342.10/596,013.15 = 160,562.90/x
  3. Step 3: Cross multiply
    397,342.10x = 596,013.15 × 160,562.90
  4. Step 4: Simplify right side
    397,342.10x = 95,697,599,802.14
  5. Step 5: Solve for x
    x = 95,697,599,802.14/397,342.10
  6. Step 6: Final answer
    x = 240,844.35

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Similar ratio
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1.5x scale

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.