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Finding the Fourth Proportional to 410,885.94, 567,021.35 and 229,598.04

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Solution

The fourth proportional to 410,885.94, 567,021.35 and 229,598.04 is: 316,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,885.94 : 567,021.35 = 229,598.04 : x
  2. Step 2: Convert to fraction form
    410,885.94/567,021.35 = 229,598.04/x
  3. Step 3: Cross multiply
    410,885.94x = 567,021.35 × 229,598.04
  4. Step 4: Simplify right side
    410,885.94x = 130,186,990,598.15
  5. Step 5: Solve for x
    x = 130,186,990,598.15/410,885.94
  6. Step 6: Final answer
    x = 316,844.60

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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.