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Finding the Fourth Proportional to 652,106.30, 978,159.45 and 540,131.90

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Solution

The fourth proportional to 652,106.30, 978,159.45 and 540,131.90 is: 810,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,106.30 : 978,159.45 = 540,131.90 : x
  2. Step 2: Convert to fraction form
    652,106.30/978,159.45 = 540,131.90/x
  3. Step 3: Cross multiply
    652,106.30x = 978,159.45 × 540,131.90
  4. Step 4: Simplify right side
    652,106.30x = 528,335,122,231.46
  5. Step 5: Solve for x
    x = 528,335,122,231.46/652,106.30
  6. Step 6: Final answer
    x = 810,197.85

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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.