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Finding the Fourth Proportional to 409,567.14, 614,627.51 and 143,330.00

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Solution

The fourth proportional to 409,567.14, 614,627.51 and 143,330.00 is: 215,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,567.14 : 614,627.51 = 143,330.00 : x
  2. Step 2: Convert to fraction form
    409,567.14/614,627.51 = 143,330.00/x
  3. Step 3: Cross multiply
    409,567.14x = 614,627.51 × 143,330.00
  4. Step 4: Simplify right side
    409,567.14x = 88,094,557,218.51
  5. Step 5: Solve for x
    x = 88,094,557,218.51/409,567.14
  6. Step 6: Final answer
    x = 215,091.86

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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.