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Finding the Fourth Proportional to 296,220.80, 408,784.14 and 160,254.85

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Solution

The fourth proportional to 296,220.80, 408,784.14 and 160,254.85 is: 221,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220.80 : 408,784.14 = 160,254.85 : x
  2. Step 2: Convert to fraction form
    296,220.80/408,784.14 = 160,254.85/x
  3. Step 3: Cross multiply
    296,220.80x = 408,784.14 × 160,254.85
  4. Step 4: Simplify right side
    296,220.80x = 65,509,641,038.08
  5. Step 5: Solve for x
    x = 65,509,641,038.08/296,220.80
  6. Step 6: Final answer
    x = 221,151.39

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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.