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Finding the Fourth Proportional to 468,270.47, 646,214.85 and 253,410.47

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Solution

The fourth proportional to 468,270.47, 646,214.85 and 253,410.47 is: 349,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,270.47 : 646,214.85 = 253,410.47 : x
  2. Step 2: Convert to fraction form
    468,270.47/646,214.85 = 253,410.47/x
  3. Step 3: Cross multiply
    468,270.47x = 646,214.85 × 253,410.47
  4. Step 4: Simplify right side
    468,270.47x = 163,757,610,475.02
  5. Step 5: Solve for x
    x = 163,757,610,475.02/468,270.47
  6. Step 6: Final answer
    x = 349,707.32

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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.