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Finding the Fourth Proportional to 468,460.53, 646,475.40 and 253,600.47

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Solution

The fourth proportional to 468,460.53, 646,475.40 and 253,600.47 is: 349,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460.53 : 646,475.40 = 253,600.47 : x
  2. Step 2: Convert to fraction form
    468,460.53/646,475.40 = 253,600.47/x
  3. Step 3: Cross multiply
    468,460.53x = 646,475.40 × 253,600.47
  4. Step 4: Simplify right side
    468,460.53x = 163,946,465,283.44
  5. Step 5: Solve for x
    x = 163,946,465,283.44/468,460.53
  6. Step 6: Final answer
    x = 349,968.58

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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.