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Finding the Fourth Proportional to 468,265, 646,210.24 and 253,409.52

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Solution

The fourth proportional to 468,265, 646,210.24 and 253,409.52 is: 349,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265 : 646,210.24 = 253,409.52 : x
  2. Step 2: Convert to fraction form
    468,265/646,210.24 = 253,409.52/x
  3. Step 3: Cross multiply
    468,265x = 646,210.24 × 253,409.52
  4. Step 4: Simplify right side
    468,265x = 163,755,826,737.49
  5. Step 5: Solve for x
    x = 163,755,826,737.49/468,265
  6. Step 6: Final answer
    x = 349,707.59

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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.