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Finding the Fourth Proportional to 468,816.38, 646,966.64 and 253,956.46

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Solution

The fourth proportional to 468,816.38, 646,966.64 and 253,956.46 is: 350,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,816.38 : 646,966.64 = 253,956.46 : x
  2. Step 2: Convert to fraction form
    468,816.38/646,966.64 = 253,956.46/x
  3. Step 3: Cross multiply
    468,816.38x = 646,966.64 × 253,956.46
  4. Step 4: Simplify right side
    468,816.38x = 164,301,357,632.49
  5. Step 5: Solve for x
    x = 164,301,357,632.49/468,816.38
  6. Step 6: Final answer
    x = 350,459.93

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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.