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Finding the Fourth Proportional to 409,886.76, 614,887.68 and 143,586.32

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Solution

The fourth proportional to 409,886.76, 614,887.68 and 143,586.32 is: 215,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,886.76 : 614,887.68 = 143,586.32 : x
  2. Step 2: Convert to fraction form
    409,886.76/614,887.68 = 143,586.32/x
  3. Step 3: Cross multiply
    409,886.76x = 614,887.68 × 143,586.32
  4. Step 4: Simplify right side
    409,886.76x = 88,289,459,184.54
  5. Step 5: Solve for x
    x = 88,289,459,184.54/409,886.76
  6. Step 6: Final answer
    x = 215,399.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.