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Finding the Fourth Proportional to 407,652.80, 611,479.20 and 314,340.80

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Solution

The fourth proportional to 407,652.80, 611,479.20 and 314,340.80 is: 471,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,652.80 : 611,479.20 = 314,340.80 : x
  2. Step 2: Convert to fraction form
    407,652.80/611,479.20 = 314,340.80/x
  3. Step 3: Cross multiply
    407,652.80x = 611,479.20 × 314,340.80
  4. Step 4: Simplify right side
    407,652.80x = 192,212,860,911.36
  5. Step 5: Solve for x
    x = 192,212,860,911.36/407,652.80
  6. Step 6: Final answer
    x = 471,511.20

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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.