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Finding the Fourth Proportional to 564,156.84, 778,347.06 and 322,268.16

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Solution

The fourth proportional to 564,156.84, 778,347.06 and 322,268.16 is: 444,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,156.84 : 778,347.06 = 322,268.16 : x
  2. Step 2: Convert to fraction form
    564,156.84/778,347.06 = 322,268.16/x
  3. Step 3: Cross multiply
    564,156.84x = 778,347.06 × 322,268.16
  4. Step 4: Simplify right side
    564,156.84x = 250,836,474,867.61
  5. Step 5: Solve for x
    x = 250,836,474,867.61/564,156.84
  6. Step 6: Final answer
    x = 444,621.88

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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.