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Finding the Fourth Proportional to 652,051.40, 978,077.10 and 278,112.20

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Solution

The fourth proportional to 652,051.40, 978,077.10 and 278,112.20 is: 417,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,051.40 : 978,077.10 = 278,112.20 : x
  2. Step 2: Convert to fraction form
    652,051.40/978,077.10 = 278,112.20/x
  3. Step 3: Cross multiply
    652,051.40x = 978,077.10 × 278,112.20
  4. Step 4: Simplify right side
    652,051.40x = 272,015,174,050.62
  5. Step 5: Solve for x
    x = 272,015,174,050.62/652,051.40
  6. Step 6: Final answer
    x = 417,168.30

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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.