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Finding the Fourth Proportional to 418,312.30, 628,780.65 and 410,439.10

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Solution

The fourth proportional to 418,312.30, 628,780.65 and 410,439.10 is: 616,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,312.30 : 628,780.65 = 410,439.10 : x
  2. Step 2: Convert to fraction form
    418,312.30/628,780.65 = 410,439.10/x
  3. Step 3: Cross multiply
    418,312.30x = 628,780.65 × 410,439.10
  4. Step 4: Simplify right side
    418,312.30x = 258,076,164,083.42
  5. Step 5: Solve for x
    x = 258,076,164,083.42/418,312.30
  6. Step 6: Final answer
    x = 616,946.15

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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.