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Finding the Fourth Proportional to 1,148,420, 1,722,644.58 and 400,466

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Solution

The fourth proportional to 1,148,420, 1,722,644.58 and 400,466 is: 600,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,420 : 1,722,644.58 = 400,466 : x
  2. Step 2: Convert to fraction form
    1,148,420/1,722,644.58 = 400,466/x
  3. Step 3: Cross multiply
    1,148,420x = 1,722,644.58 × 400,466
  4. Step 4: Simplify right side
    1,148,420x = 689,860,584,374.28
  5. Step 5: Solve for x
    x = 689,860,584,374.28/1,148,420
  6. Step 6: Final answer
    x = 600,704.08

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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.