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Finding the Fourth Proportional to 652,154.60, 978,231.90 and 564,674.60

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Solution

The fourth proportional to 652,154.60, 978,231.90 and 564,674.60 is: 847,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,154.60 : 978,231.90 = 564,674.60 : x
  2. Step 2: Convert to fraction form
    652,154.60/978,231.90 = 564,674.60/x
  3. Step 3: Cross multiply
    652,154.60x = 978,231.90 × 564,674.60
  4. Step 4: Simplify right side
    652,154.60x = 552,382,706,839.74
  5. Step 5: Solve for x
    x = 552,382,706,839.74/652,154.60
  6. Step 6: Final answer
    x = 847,011.90

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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.