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Finding the Fourth Proportional to 468,061.61, 645,923.07 and 253,201.14

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Solution

The fourth proportional to 468,061.61, 645,923.07 and 253,201.14 is: 349,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,061.61 : 645,923.07 = 253,201.14 : x
  2. Step 2: Convert to fraction form
    468,061.61/645,923.07 = 253,201.14/x
  3. Step 3: Cross multiply
    468,061.61x = 645,923.07 × 253,201.14
  4. Step 4: Simplify right side
    468,061.61x = 163,548,457,676.30
  5. Step 5: Solve for x
    x = 163,548,457,676.30/468,061.61
  6. Step 6: Final answer
    x = 349,416.52

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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.