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Finding the Fourth Proportional to 296,259.52, 408,838.13 and 160,293.47

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Solution

The fourth proportional to 296,259.52, 408,838.13 and 160,293.47 is: 221,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,259.52 : 408,838.13 = 160,293.47 : x
  2. Step 2: Convert to fraction form
    296,259.52/408,838.13 = 160,293.47/x
  3. Step 3: Cross multiply
    296,259.52x = 408,838.13 × 160,293.47
  4. Step 4: Simplify right side
    296,259.52x = 65,534,080,168.75
  5. Step 5: Solve for x
    x = 65,534,080,168.75/296,259.52
  6. Step 6: Final answer
    x = 221,204.98

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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.