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Finding the Fourth Proportional to 296,612.46, 409,346.19 and 169,307.19

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Solution

The fourth proportional to 296,612.46, 409,346.19 and 169,307.19 is: 233,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612.46 : 409,346.19 = 169,307.19 : x
  2. Step 2: Convert to fraction form
    296,612.46/409,346.19 = 169,307.19/x
  3. Step 3: Cross multiply
    296,612.46x = 409,346.19 × 169,307.19
  4. Step 4: Simplify right side
    296,612.46x = 69,305,253,166.11
  5. Step 5: Solve for x
    x = 69,305,253,166.11/296,612.46
  6. Step 6: Final answer
    x = 233,655.91

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Double scale
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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.