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Finding the Fourth Proportional to 345,264.16, 476,612 and 232,152.48

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Solution

The fourth proportional to 345,264.16, 476,612 and 232,152.48 is: 320,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,264.16 : 476,612 = 232,152.48 : x
  2. Step 2: Convert to fraction form
    345,264.16/476,612 = 232,152.48/x
  3. Step 3: Cross multiply
    345,264.16x = 476,612 × 232,152.48
  4. Step 4: Simplify right side
    345,264.16x = 110,646,657,797.76
  5. Step 5: Solve for x
    x = 110,646,657,797.76/345,264.16
  6. Step 6: Final answer
    x = 320,469.57

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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.