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Finding the Fourth Proportional to 978,027.60, 1,467,041.40 and 417,118.80

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Solution

The fourth proportional to 978,027.60, 1,467,041.40 and 417,118.80 is: 625,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,027.60 : 1,467,041.40 = 417,118.80 : x
  2. Step 2: Convert to fraction form
    978,027.60/1,467,041.40 = 417,118.80/x
  3. Step 3: Cross multiply
    978,027.60x = 1,467,041.40 × 417,118.80
  4. Step 4: Simplify right side
    978,027.60x = 611,930,548,318.32
  5. Step 5: Solve for x
    x = 611,930,548,318.32/978,027.60
  6. Step 6: Final answer
    x = 625,678.20

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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.