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Finding the Fourth Proportional to 665,661.60, 998,492.40 and 413,719.20

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Solution

The fourth proportional to 665,661.60, 998,492.40 and 413,719.20 is: 620,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,661.60 : 998,492.40 = 413,719.20 : x
  2. Step 2: Convert to fraction form
    665,661.60/998,492.40 = 413,719.20/x
  3. Step 3: Cross multiply
    665,661.60x = 998,492.40 × 413,719.20
  4. Step 4: Simplify right side
    665,661.60x = 413,095,476,934.08
  5. Step 5: Solve for x
    x = 413,095,476,934.08/665,661.60
  6. Step 6: Final answer
    x = 620,578.80

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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.