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Finding the Fourth Proportional to 400,712, 552,982.56 and 221,875.52

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Solution

The fourth proportional to 400,712, 552,982.56 and 221,875.52 is: 306,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,712 : 552,982.56 = 221,875.52 : x
  2. Step 2: Convert to fraction form
    400,712/552,982.56 = 221,875.52/x
  3. Step 3: Cross multiply
    400,712x = 552,982.56 × 221,875.52
  4. Step 4: Simplify right side
    400,712x = 122,693,293,050.93
  5. Step 5: Solve for x
    x = 122,693,293,050.93/400,712
  6. Step 6: Final answer
    x = 306,188.22

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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.