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Finding the Fourth Proportional to 422,762.31, 583,410.62 and 229,170.77

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Solution

The fourth proportional to 422,762.31, 583,410.62 and 229,170.77 is: 316,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,762.31 : 583,410.62 = 229,170.77 : x
  2. Step 2: Convert to fraction form
    422,762.31/583,410.62 = 229,170.77/x
  3. Step 3: Cross multiply
    422,762.31x = 583,410.62 × 229,170.77
  4. Step 4: Simplify right side
    422,762.31x = 133,700,656,948.67
  5. Step 5: Solve for x
    x = 133,700,656,948.67/422,762.31
  6. Step 6: Final answer
    x = 316,254.91

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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.