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Finding the Fourth Proportional to 457,541.64, 686,228.16 and 191,230.68

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Solution

The fourth proportional to 457,541.64, 686,228.16 and 191,230.68 is: 286,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,541.64 : 686,228.16 = 191,230.68 : x
  2. Step 2: Convert to fraction form
    457,541.64/686,228.16 = 191,230.68/x
  3. Step 3: Cross multiply
    457,541.64x = 686,228.16 × 191,230.68
  4. Step 4: Simplify right side
    457,541.64x = 131,227,877,671.95
  5. Step 5: Solve for x
    x = 131,227,877,671.95/457,541.64
  6. Step 6: Final answer
    x = 286,810.79

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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.