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Finding the Fourth Proportional to 497,033.10, 745,646.85 and 197,462.70

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Solution

The fourth proportional to 497,033.10, 745,646.85 and 197,462.70 is: 296,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,033.10 : 745,646.85 = 197,462.70 : x
  2. Step 2: Convert to fraction form
    497,033.10/745,646.85 = 197,462.70/x
  3. Step 3: Cross multiply
    497,033.10x = 745,646.85 × 197,462.70
  4. Step 4: Simplify right side
    497,033.10x = 147,237,440,247.50
  5. Step 5: Solve for x
    x = 147,237,440,247.50/497,033.10
  6. Step 6: Final answer
    x = 296,232.67

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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.