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Finding the Fourth Proportional to 564,536.34, 779,058.18 and 306,413.29

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Solution

The fourth proportional to 564,536.34, 779,058.18 and 306,413.29 is: 422,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,536.34 : 779,058.18 = 306,413.29 : x
  2. Step 2: Convert to fraction form
    564,536.34/779,058.18 = 306,413.29/x
  3. Step 3: Cross multiply
    564,536.34x = 779,058.18 × 306,413.29
  4. Step 4: Simplify right side
    564,536.34x = 238,713,780,035.21
  5. Step 5: Solve for x
    x = 238,713,780,035.21/564,536.34
  6. Step 6: Final answer
    x = 422,849.27

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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.