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Finding the Fourth Proportional to 468,124.95, 646,012.49 and 253,264.89

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Solution

The fourth proportional to 468,124.95, 646,012.49 and 253,264.89 is: 349,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,124.95 : 646,012.49 = 253,264.89 : x
  2. Step 2: Convert to fraction form
    468,124.95/646,012.49 = 253,264.89/x
  3. Step 3: Cross multiply
    468,124.95x = 646,012.49 × 253,264.89
  4. Step 4: Simplify right side
    468,124.95x = 163,612,280,952.15
  5. Step 5: Solve for x
    x = 163,612,280,952.15/468,124.95
  6. Step 6: Final answer
    x = 349,505.58

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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.