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Finding the Fourth Proportional to 551,607.60, 826,822.80 and 314,439.60

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Solution

The fourth proportional to 551,607.60, 826,822.80 and 314,439.60 is: 471,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,607.60 : 826,822.80 = 314,439.60 : x
  2. Step 2: Convert to fraction form
    551,607.60/826,822.80 = 314,439.60/x
  3. Step 3: Cross multiply
    551,607.60x = 826,822.80 × 314,439.60
  4. Step 4: Simplify right side
    551,607.60x = 259,985,830,502.88
  5. Step 5: Solve for x
    x = 259,985,830,502.88/551,607.60
  6. Step 6: Final answer
    x = 471,323.87

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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.