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Finding the Fourth Proportional to 478,051.20, 717,076.80 and 278,596.80

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Solution

The fourth proportional to 478,051.20, 717,076.80 and 278,596.80 is: 417,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,051.20 : 717,076.80 = 278,596.80 : x
  2. Step 2: Convert to fraction form
    478,051.20/717,076.80 = 278,596.80/x
  3. Step 3: Cross multiply
    478,051.20x = 717,076.80 × 278,596.80
  4. Step 4: Simplify right side
    478,051.20x = 199,775,301,834.24
  5. Step 5: Solve for x
    x = 199,775,301,834.24/478,051.20
  6. Step 6: Final answer
    x = 417,895.20

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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.