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Finding the Fourth Proportional to 314,832.48, 472,322.54 and 125,304.33

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Solution

The fourth proportional to 314,832.48, 472,322.54 and 125,304.33 is: 187,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,832.48 : 472,322.54 = 125,304.33 : x
  2. Step 2: Convert to fraction form
    314,832.48/472,322.54 = 125,304.33/x
  3. Step 3: Cross multiply
    314,832.48x = 472,322.54 × 125,304.33
  4. Step 4: Simplify right side
    314,832.48x = 59,184,059,510.46
  5. Step 5: Solve for x
    x = 59,184,059,510.46/314,832.48
  6. Step 6: Final answer
    x = 187,985.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.