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Finding the Fourth Proportional to 468,271.47, 646,216.23 and 253,411.48

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Solution

The fourth proportional to 468,271.47, 646,216.23 and 253,411.48 is: 349,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,271.47 : 646,216.23 = 253,411.48 : x
  2. Step 2: Convert to fraction form
    468,271.47/646,216.23 = 253,411.48/x
  3. Step 3: Cross multiply
    468,271.47x = 646,216.23 × 253,411.48
  4. Step 4: Simplify right side
    468,271.47x = 163,758,611,244.32
  5. Step 5: Solve for x
    x = 163,758,611,244.32/468,271.47
  6. Step 6: Final answer
    x = 349,708.71

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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.