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Finding the Fourth Proportional to 382,047.40, 527,203.95 and 229,009.00

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Solution

The fourth proportional to 382,047.40, 527,203.95 and 229,009.00 is: 316,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,047.40 : 527,203.95 = 229,009.00 : x
  2. Step 2: Convert to fraction form
    382,047.40/527,203.95 = 229,009.00/x
  3. Step 3: Cross multiply
    382,047.40x = 527,203.95 × 229,009.00
  4. Step 4: Simplify right side
    382,047.40x = 120,734,446,749.53
  5. Step 5: Solve for x
    x = 120,734,446,749.53/382,047.40
  6. Step 6: Final answer
    x = 316,019.55

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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.