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Finding the Fourth Proportional to 296,537.78, 409,225.55 and 160,574.83

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Solution

The fourth proportional to 296,537.78, 409,225.55 and 160,574.83 is: 221,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,537.78 : 409,225.55 = 160,574.83 : x
  2. Step 2: Convert to fraction form
    296,537.78/409,225.55 = 160,574.83/x
  3. Step 3: Cross multiply
    296,537.78x = 409,225.55 × 160,574.83
  4. Step 4: Simplify right side
    296,537.78x = 65,711,321,296.97
  5. Step 5: Solve for x
    x = 65,711,321,296.97/296,537.78
  6. Step 6: Final answer
    x = 221,595.11

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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.