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Finding the Fourth Proportional to 296,595.12, 409,301.28 and 162,459.12

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Solution

The fourth proportional to 296,595.12, 409,301.28 and 162,459.12 is: 224,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,595.12 : 409,301.28 = 162,459.12 : x
  2. Step 2: Convert to fraction form
    296,595.12/409,301.28 = 162,459.12/x
  3. Step 3: Cross multiply
    296,595.12x = 409,301.28 × 162,459.12
  4. Step 4: Simplify right side
    296,595.12x = 66,494,725,763.67
  5. Step 5: Solve for x
    x = 66,494,725,763.67/296,595.12
  6. Step 6: Final answer
    x = 224,193.59

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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.