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Finding the Fourth Proportional to 296,592.71, 409,295.70 and 160,623.47

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Solution

The fourth proportional to 296,592.71, 409,295.70 and 160,623.47 is: 221,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,592.71 : 409,295.70 = 160,623.47 : x
  2. Step 2: Convert to fraction form
    296,592.71/409,295.70 = 160,623.47/x
  3. Step 3: Cross multiply
    296,592.71x = 409,295.70 × 160,623.47
  4. Step 4: Simplify right side
    296,592.71x = 65,742,496,613.32
  5. Step 5: Solve for x
    x = 65,742,496,613.32/296,592.71
  6. Step 6: Final answer
    x = 221,659.18

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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.