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Finding the Fourth Proportional to 409,994.64, 615,017.88 and 173,306.16

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Solution

The fourth proportional to 409,994.64, 615,017.88 and 173,306.16 is: 259,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,994.64 : 615,017.88 = 173,306.16 : x
  2. Step 2: Convert to fraction form
    409,994.64/615,017.88 = 173,306.16/x
  3. Step 3: Cross multiply
    409,994.64x = 615,017.88 × 173,306.16
  4. Step 4: Simplify right side
    409,994.64x = 106,586,387,114.14
  5. Step 5: Solve for x
    x = 106,586,387,114.14/409,994.64
  6. Step 6: Final answer
    x = 259,970.20

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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.