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Finding the Fourth Proportional to 652,287.60, 978,431.40 and 547,311.60

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Solution

The fourth proportional to 652,287.60, 978,431.40 and 547,311.60 is: 820,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,287.60 : 978,431.40 = 547,311.60 : x
  2. Step 2: Convert to fraction form
    652,287.60/978,431.40 = 547,311.60/x
  3. Step 3: Cross multiply
    652,287.60x = 978,431.40 × 547,311.60
  4. Step 4: Simplify right side
    652,287.60x = 535,506,855,024.24
  5. Step 5: Solve for x
    x = 535,506,855,024.24/652,287.60
  6. Step 6: Final answer
    x = 820,967.40

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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.