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Finding the Fourth Proportional to 468,264.74, 646,200.06 and 253,400.90

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Solution

The fourth proportional to 468,264.74, 646,200.06 and 253,400.90 is: 349,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,264.74 : 646,200.06 = 253,400.90 : x
  2. Step 2: Convert to fraction form
    468,264.74/646,200.06 = 253,400.90/x
  3. Step 3: Cross multiply
    468,264.74x = 646,200.06 × 253,400.90
  4. Step 4: Simplify right side
    468,264.74x = 163,747,676,784.05
  5. Step 5: Solve for x
    x = 163,747,676,784.05/468,264.74
  6. Step 6: Final answer
    x = 349,690.38

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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.