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Finding the Fourth Proportional to 429,435.20, 644,152.80 and 404,940.80

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Solution

The fourth proportional to 429,435.20, 644,152.80 and 404,940.80 is: 607,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,435.20 : 644,152.80 = 404,940.80 : x
  2. Step 2: Convert to fraction form
    429,435.20/644,152.80 = 404,940.80/x
  3. Step 3: Cross multiply
    429,435.20x = 644,152.80 × 404,940.80
  4. Step 4: Simplify right side
    429,435.20x = 260,843,750,154.24
  5. Step 5: Solve for x
    x = 260,843,750,154.24/429,435.20
  6. Step 6: Final answer
    x = 607,411.20

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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.