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Finding the Fourth Proportional to 296,425.70, 409,068.46 and 160,459.62

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Solution

The fourth proportional to 296,425.70, 409,068.46 and 160,459.62 is: 221,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,425.70 : 409,068.46 = 160,459.62 : x
  2. Step 2: Convert to fraction form
    296,425.70/409,068.46 = 160,459.62/x
  3. Step 3: Cross multiply
    296,425.70x = 409,068.46 × 160,459.62
  4. Step 4: Simplify right side
    296,425.70x = 65,638,969,645.59
  5. Step 5: Solve for x
    x = 65,638,969,645.59/296,425.70
  6. Step 6: Final answer
    x = 221,434.81

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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.