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Finding the Fourth Proportional to 652,101.88, 978,153.42 and 525,146.80

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Solution

The fourth proportional to 652,101.88, 978,153.42 and 525,146.80 is: 787,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,101.88 : 978,153.42 = 525,146.80 : x
  2. Step 2: Convert to fraction form
    652,101.88/978,153.42 = 525,146.80/x
  3. Step 3: Cross multiply
    652,101.88x = 978,153.42 × 525,146.80
  4. Step 4: Simplify right side
    652,101.88x = 513,674,138,422.06
  5. Step 5: Solve for x
    x = 513,674,138,422.06/652,101.88
  6. Step 6: Final answer
    x = 787,720.68

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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.