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Finding the Fourth Proportional to 552,480.32, 762,418.68 and 314,016.32

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Solution

The fourth proportional to 552,480.32, 762,418.68 and 314,016.32 is: 433,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,480.32 : 762,418.68 = 314,016.32 : x
  2. Step 2: Convert to fraction form
    552,480.32/762,418.68 = 314,016.32/x
  3. Step 3: Cross multiply
    552,480.32x = 762,418.68 × 314,016.32
  4. Step 4: Simplify right side
    552,480.32x = 239,411,908,192.86
  5. Step 5: Solve for x
    x = 239,411,908,192.86/552,480.32
  6. Step 6: Final answer
    x = 433,340.16

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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.