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Finding the Fourth Proportional to 296,472.65, 409,132.40 and 160,506.62

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Solution

The fourth proportional to 296,472.65, 409,132.40 and 160,506.62 is: 221,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,472.65 : 409,132.40 = 160,506.62 : x
  2. Step 2: Convert to fraction form
    296,472.65/409,132.40 = 160,506.62/x
  3. Step 3: Cross multiply
    296,472.65x = 409,132.40 × 160,506.62
  4. Step 4: Simplify right side
    296,472.65x = 65,668,455,808.29
  5. Step 5: Solve for x
    x = 65,668,455,808.29/296,472.65
  6. Step 6: Final answer
    x = 221,499.21

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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.