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Finding the Fourth Proportional to 564,369.18, 778,607.75 and 322,522

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Solution

The fourth proportional to 564,369.18, 778,607.75 and 322,522 is: 444,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,369.18 : 778,607.75 = 322,522 : x
  2. Step 2: Convert to fraction form
    564,369.18/778,607.75 = 322,522/x
  3. Step 3: Cross multiply
    564,369.18x = 778,607.75 × 322,522
  4. Step 4: Simplify right side
    564,369.18x = 251,118,128,745.50
  5. Step 5: Solve for x
    x = 251,118,128,745.50/564,369.18
  6. Step 6: Final answer
    x = 444,953.65

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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.