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Finding the Fourth Proportional to 358,877.53, 537,808.46 and 199,023.76

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Solution

The fourth proportional to 358,877.53, 537,808.46 and 199,023.76 is: 298,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,877.53 : 537,808.46 = 199,023.76 : x
  2. Step 2: Convert to fraction form
    358,877.53/537,808.46 = 199,023.76/x
  3. Step 3: Cross multiply
    358,877.53x = 537,808.46 × 199,023.76
  4. Step 4: Simplify right side
    358,877.53x = 107,036,659,529.37
  5. Step 5: Solve for x
    x = 107,036,659,529.37/358,877.53
  6. Step 6: Final answer
    x = 298,254.00

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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.