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Finding the Fourth Proportional to 468,275.22, 646,221.78 and 253,415.28

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Solution

The fourth proportional to 468,275.22, 646,221.78 and 253,415.28 is: 349,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,275.22 : 646,221.78 = 253,415.28 : x
  2. Step 2: Convert to fraction form
    468,275.22/646,221.78 = 253,415.28/x
  3. Step 3: Cross multiply
    468,275.22x = 646,221.78 × 253,415.28
  4. Step 4: Simplify right side
    468,275.22x = 163,762,473,320.80
  5. Step 5: Solve for x
    x = 163,762,473,320.80/468,275.22
  6. Step 6: Final answer
    x = 349,714.16

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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.