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Finding the Fourth Proportional to 524,956.44, 724,433.58 and 298,601.40

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Solution

The fourth proportional to 524,956.44, 724,433.58 and 298,601.40 is: 412,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,956.44 : 724,433.58 = 298,601.40 : x
  2. Step 2: Convert to fraction form
    524,956.44/724,433.58 = 298,601.40/x
  3. Step 3: Cross multiply
    524,956.44x = 724,433.58 × 298,601.40
  4. Step 4: Simplify right side
    524,956.44x = 216,316,881,195.01
  5. Step 5: Solve for x
    x = 216,316,881,195.01/524,956.44
  6. Step 6: Final answer
    x = 412,066.34

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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.