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Finding the Fourth Proportional to 457,803.53, 686,008.17 and 232,826.84

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Solution

The fourth proportional to 457,803.53, 686,008.17 and 232,826.84 is: 348,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,803.53 : 686,008.17 = 232,826.84 : x
  2. Step 2: Convert to fraction form
    457,803.53/686,008.17 = 232,826.84/x
  3. Step 3: Cross multiply
    457,803.53x = 686,008.17 × 232,826.84
  4. Step 4: Simplify right side
    457,803.53x = 159,721,113,577.77
  5. Step 5: Solve for x
    x = 159,721,113,577.77/457,803.53
  6. Step 6: Final answer
    x = 348,885.72

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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.