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Finding the Fourth Proportional to 652,017.40, 978,026.10 and 278,078.20

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Solution

The fourth proportional to 652,017.40, 978,026.10 and 278,078.20 is: 417,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,017.40 : 978,026.10 = 278,078.20 : x
  2. Step 2: Convert to fraction form
    652,017.40/978,026.10 = 278,078.20/x
  3. Step 3: Cross multiply
    652,017.40x = 978,026.10 × 278,078.20
  4. Step 4: Simplify right side
    652,017.40x = 271,967,737,441.02
  5. Step 5: Solve for x
    x = 271,967,737,441.02/652,017.40
  6. Step 6: Final answer
    x = 417,117.30

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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.