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Finding the Fourth Proportional to 468,462.47, 646,478.42 and 253,602.53

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Solution

The fourth proportional to 468,462.47, 646,478.42 and 253,602.53 is: 349,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,462.47 : 646,478.42 = 253,602.53 : x
  2. Step 2: Convert to fraction form
    468,462.47/646,478.42 = 253,602.53/x
  3. Step 3: Cross multiply
    468,462.47x = 646,478.42 × 253,602.53
  4. Step 4: Simplify right side
    468,462.47x = 163,948,562,902.40
  5. Step 5: Solve for x
    x = 163,948,562,902.40/468,462.47
  6. Step 6: Final answer
    x = 349,971.61

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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.