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Finding the Fourth Proportional to 652,169.60, 978,254.40 and 564,689.60

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Solution

The fourth proportional to 652,169.60, 978,254.40 and 564,689.60 is: 847,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,169.60 : 978,254.40 = 564,689.60 : x
  2. Step 2: Convert to fraction form
    652,169.60/978,254.40 = 564,689.60/x
  3. Step 3: Cross multiply
    652,169.60x = 978,254.40 × 564,689.60
  4. Step 4: Simplify right side
    652,169.60x = 552,410,085,834.24
  5. Step 5: Solve for x
    x = 552,410,085,834.24/652,169.60
  6. Step 6: Final answer
    x = 847,034.40

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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.