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Finding the Fourth Proportional to 296,465.16, 409,121.42 and 160,499.06

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Solution

The fourth proportional to 296,465.16, 409,121.42 and 160,499.06 is: 221,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465.16 : 409,121.42 = 160,499.06 : x
  2. Step 2: Convert to fraction form
    296,465.16/409,121.42 = 160,499.06/x
  3. Step 3: Cross multiply
    296,465.16x = 409,121.42 × 160,499.06
  4. Step 4: Simplify right side
    296,465.16x = 65,663,600,487.76
  5. Step 5: Solve for x
    x = 65,663,600,487.76/296,465.16
  6. Step 6: Final answer
    x = 221,488.42

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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.