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Finding the Fourth Proportional to 357,043.68, 535,062.11 and 197,191.67

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Solution

The fourth proportional to 357,043.68, 535,062.11 and 197,191.67 is: 295,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,043.68 : 535,062.11 = 197,191.67 : x
  2. Step 2: Convert to fraction form
    357,043.68/535,062.11 = 197,191.67/x
  3. Step 3: Cross multiply
    357,043.68x = 535,062.11 × 197,191.67
  4. Step 4: Simplify right side
    357,043.68x = 105,509,787,363.36
  5. Step 5: Solve for x
    x = 105,509,787,363.36/357,043.68
  6. Step 6: Final answer
    x = 295,509.47

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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.