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Finding the Fourth Proportional to 552,664.80, 828,122.40 and 463,435.20

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Solution

The fourth proportional to 552,664.80, 828,122.40 and 463,435.20 is: 694,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,664.80 : 828,122.40 = 463,435.20 : x
  2. Step 2: Convert to fraction form
    552,664.80/828,122.40 = 463,435.20/x
  3. Step 3: Cross multiply
    552,664.80x = 828,122.40 × 463,435.20
  4. Step 4: Simplify right side
    552,664.80x = 383,781,070,068.48
  5. Step 5: Solve for x
    x = 383,781,070,068.48/552,664.80
  6. Step 6: Final answer
    x = 694,419.24

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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.