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Finding the Fourth Proportional to 524,701.48, 724,084.66 and 298,346.96

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Solution

The fourth proportional to 524,701.48, 724,084.66 and 298,346.96 is: 411,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,701.48 : 724,084.66 = 298,346.96 : x
  2. Step 2: Convert to fraction form
    524,701.48/724,084.66 = 298,346.96/x
  3. Step 3: Cross multiply
    524,701.48x = 724,084.66 × 298,346.96
  4. Step 4: Simplify right side
    524,701.48x = 216,028,457,093.63
  5. Step 5: Solve for x
    x = 216,028,457,093.63/524,701.48
  6. Step 6: Final answer
    x = 411,716.88

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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.