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Finding the Fourth Proportional to 296,215.74, 408,776.04 and 160,249.32

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Solution

The fourth proportional to 296,215.74, 408,776.04 and 160,249.32 is: 221,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,215.74 : 408,776.04 = 160,249.32 : x
  2. Step 2: Convert to fraction form
    296,215.74/408,776.04 = 160,249.32/x
  3. Step 3: Cross multiply
    296,215.74x = 408,776.04 × 160,249.32
  4. Step 4: Simplify right side
    296,215.74x = 65,506,082,442.29
  5. Step 5: Solve for x
    x = 65,506,082,442.29/296,215.74
  6. Step 6: Final answer
    x = 221,143.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.