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Finding the Fourth Proportional to 527,712, 791,568 and 232,224

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Solution

The fourth proportional to 527,712, 791,568 and 232,224 is: 348,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,712 : 791,568 = 232,224 : x
  2. Step 2: Convert to fraction form
    527,712/791,568 = 232,224/x
  3. Step 3: Cross multiply
    527,712x = 791,568 × 232,224
  4. Step 4: Simplify right side
    527,712x = 183,821,087,232
  5. Step 5: Solve for x
    x = 183,821,087,232/527,712
  6. Step 6: Final answer
    x = 348,336

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.