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Finding the Fourth Proportional to 564,206.36, 778,659.48 and 322,442.74

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Solution

The fourth proportional to 564,206.36, 778,659.48 and 322,442.74 is: 445,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,206.36 : 778,659.48 = 322,442.74 : x
  2. Step 2: Convert to fraction form
    564,206.36/778,659.48 = 322,442.74/x
  3. Step 3: Cross multiply
    564,206.36x = 778,659.48 × 322,442.74
  4. Step 4: Simplify right side
    564,206.36x = 251,073,093,946.53
  5. Step 5: Solve for x
    x = 251,073,093,946.53/564,206.36
  6. Step 6: Final answer
    x = 445,002.24

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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.