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Finding the Fourth Proportional to 564,370.18, 778,609.13 and 322,523

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Solution

The fourth proportional to 564,370.18, 778,609.13 and 322,523 is: 444,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,370.18 : 778,609.13 = 322,523 : x
  2. Step 2: Convert to fraction form
    564,370.18/778,609.13 = 322,523/x
  3. Step 3: Cross multiply
    564,370.18x = 778,609.13 × 322,523
  4. Step 4: Simplify right side
    564,370.18x = 251,119,352,434.99
  5. Step 5: Solve for x
    x = 251,119,352,434.99/564,370.18
  6. Step 6: Final answer
    x = 444,955.03

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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.