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Finding the Fourth Proportional to 412,454.36, 569,266.85 and 268,965.29

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Solution

The fourth proportional to 412,454.36, 569,266.85 and 268,965.29 is: 371,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,454.36 : 569,266.85 = 268,965.29 : x
  2. Step 2: Convert to fraction form
    412,454.36/569,266.85 = 268,965.29/x
  3. Step 3: Cross multiply
    412,454.36x = 569,266.85 × 268,965.29
  4. Step 4: Simplify right side
    412,454.36x = 153,113,023,475.98
  5. Step 5: Solve for x
    x = 153,113,023,475.98/412,454.36
  6. Step 6: Final answer
    x = 371,224.16

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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.