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Finding the Fourth Proportional to 564,246.20, 778,659.78 and 322,534.00

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Solution

The fourth proportional to 564,246.20, 778,659.78 and 322,534.00 is: 445,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,246.20 : 778,659.78 = 322,534.00 : x
  2. Step 2: Convert to fraction form
    564,246.20/778,659.78 = 322,534.00/x
  3. Step 3: Cross multiply
    564,246.20x = 778,659.78 × 322,534.00
  4. Step 4: Simplify right side
    564,246.20x = 251,144,255,665.35
  5. Step 5: Solve for x
    x = 251,144,255,665.35/564,246.20
  6. Step 6: Final answer
    x = 445,096.94

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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.