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Finding the Fourth Proportional to 617,714.91, 852,461.01 and 345,776.04

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Solution

The fourth proportional to 617,714.91, 852,461.01 and 345,776.04 is: 477,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,714.91 : 852,461.01 = 345,776.04 : x
  2. Step 2: Convert to fraction form
    617,714.91/852,461.01 = 345,776.04/x
  3. Step 3: Cross multiply
    617,714.91x = 852,461.01 × 345,776.04
  4. Step 4: Simplify right side
    617,714.91x = 294,760,592,292.20
  5. Step 5: Solve for x
    x = 294,760,592,292.20/617,714.91
  6. Step 6: Final answer
    x = 477,179.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.