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Finding the Fourth Proportional to 296,301.42, 408,893.11 and 160,332.39

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Solution

The fourth proportional to 296,301.42, 408,893.11 and 160,332.39 is: 221,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301.42 : 408,893.11 = 160,332.39 : x
  2. Step 2: Convert to fraction form
    296,301.42/408,893.11 = 160,332.39/x
  3. Step 3: Cross multiply
    296,301.42x = 408,893.11 × 160,332.39
  4. Step 4: Simplify right side
    296,301.42x = 65,558,809,580.83
  5. Step 5: Solve for x
    x = 65,558,809,580.83/296,301.42
  6. Step 6: Final answer
    x = 221,257.16

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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.