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Finding the Fourth Proportional to 296,324.32, 408,927.52 and 160,358.26

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Solution

The fourth proportional to 296,324.32, 408,927.52 and 160,358.26 is: 221,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,324.32 : 408,927.52 = 160,358.26 : x
  2. Step 2: Convert to fraction form
    296,324.32/408,927.52 = 160,358.26/x
  3. Step 3: Cross multiply
    296,324.32x = 408,927.52 × 160,358.26
  4. Step 4: Simplify right side
    296,324.32x = 65,574,902,726.89
  5. Step 5: Solve for x
    x = 65,574,902,726.89/296,324.32
  6. Step 6: Final answer
    x = 221,294.37

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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.