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Finding the Fourth Proportional to 652,310.10, 978,465.15 and 652,310.10

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Solution

The fourth proportional to 652,310.10, 978,465.15 and 652,310.10 is: 978,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,310.10 : 978,465.15 = 652,310.10 : x
  2. Step 2: Convert to fraction form
    652,310.10/978,465.15 = 652,310.10/x
  3. Step 3: Cross multiply
    652,310.10x = 978,465.15 × 652,310.10
  4. Step 4: Simplify right side
    652,310.10x = 638,262,699,843.02
  5. Step 5: Solve for x
    x = 638,262,699,843.02/652,310.10
  6. Step 6: Final answer
    x = 978,465.15

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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.