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Finding the Fourth Proportional to 468,614.17, 702,923.51 and 113,628.16

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Solution

The fourth proportional to 468,614.17, 702,923.51 and 113,628.16 is: 170,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,614.17 : 702,923.51 = 113,628.16 : x
  2. Step 2: Convert to fraction form
    468,614.17/702,923.51 = 113,628.16/x
  3. Step 3: Cross multiply
    468,614.17x = 702,923.51 × 113,628.16
  4. Step 4: Simplify right side
    468,614.17x = 79,871,905,062.04
  5. Step 5: Solve for x
    x = 79,871,905,062.04/468,614.17
  6. Step 6: Final answer
    x = 170,442.79

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Why These Related Problems?

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