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Finding the Fourth Proportional to 296,345.16, 408,956.31 and 160,379.10

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Solution

The fourth proportional to 296,345.16, 408,956.31 and 160,379.10 is: 221,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,345.16 : 408,956.31 = 160,379.10 : x
  2. Step 2: Convert to fraction form
    296,345.16/408,956.31 = 160,379.10/x
  3. Step 3: Cross multiply
    296,345.16x = 408,956.31 × 160,379.10
  4. Step 4: Simplify right side
    296,345.16x = 65,588,044,937.12
  5. Step 5: Solve for x
    x = 65,588,044,937.12/296,345.16
  6. Step 6: Final answer
    x = 221,323.15

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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.