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Finding the Fourth Proportional to 413,433.96, 570,627.72 and 252,254.40

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Solution

The fourth proportional to 413,433.96, 570,627.72 and 252,254.40 is: 348,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,433.96 : 570,627.72 = 252,254.40 : x
  2. Step 2: Convert to fraction form
    413,433.96/570,627.72 = 252,254.40/x
  3. Step 3: Cross multiply
    413,433.96x = 570,627.72 × 252,254.40
  4. Step 4: Simplify right side
    413,433.96x = 143,943,353,131.97
  5. Step 5: Solve for x
    x = 143,943,353,131.97/413,433.96
  6. Step 6: Final answer
    x = 348,165.29

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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.