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Finding the Fourth Proportional to 409,907.32, 614,948.52 and 143,684.08

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Solution

The fourth proportional to 409,907.32, 614,948.52 and 143,684.08 is: 215,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,907.32 : 614,948.52 = 143,684.08 : x
  2. Step 2: Convert to fraction form
    409,907.32/614,948.52 = 143,684.08/x
  3. Step 3: Cross multiply
    409,907.32x = 614,948.52 × 143,684.08
  4. Step 4: Simplify right side
    409,907.32x = 88,358,312,343.56
  5. Step 5: Solve for x
    x = 88,358,312,343.56/409,907.32
  6. Step 6: Final answer
    x = 215,556.81

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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.