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Finding the Fourth Proportional to 427,498.11, 589,925.84 and 233,901.63

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Solution

The fourth proportional to 427,498.11, 589,925.84 and 233,901.63 is: 322,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,498.11 : 589,925.84 = 233,901.63 : x
  2. Step 2: Convert to fraction form
    427,498.11/589,925.84 = 233,901.63/x
  3. Step 3: Cross multiply
    427,498.11x = 589,925.84 × 233,901.63
  4. Step 4: Simplify right side
    427,498.11x = 137,984,614,385.61
  5. Step 5: Solve for x
    x = 137,984,614,385.61/427,498.11
  6. Step 6: Final answer
    x = 322,772.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.