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Finding the Fourth Proportional to 564,071.13, 778,460.90 and 322,363.89

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Solution

The fourth proportional to 564,071.13, 778,460.90 and 322,363.89 is: 444,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,071.13 : 778,460.90 = 322,363.89 : x
  2. Step 2: Convert to fraction form
    564,071.13/778,460.90 = 322,363.89/x
  3. Step 3: Cross multiply
    564,071.13x = 778,460.90 × 322,363.89
  4. Step 4: Simplify right side
    564,071.13x = 250,947,682,325.08
  5. Step 5: Solve for x
    x = 250,947,682,325.08/564,071.13
  6. Step 6: Final answer
    x = 444,886.59

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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.