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Finding the Fourth Proportional to 464,350.86, 696,595.50 and 164,806.36

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Solution

The fourth proportional to 464,350.86, 696,595.50 and 164,806.36 is: 247,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,350.86 : 696,595.50 = 164,806.36 : x
  2. Step 2: Convert to fraction form
    464,350.86/696,595.50 = 164,806.36/x
  3. Step 3: Cross multiply
    464,350.86x = 696,595.50 × 164,806.36
  4. Step 4: Simplify right side
    464,350.86x = 114,803,368,101.36
  5. Step 5: Solve for x
    x = 114,803,368,101.36/464,350.86
  6. Step 6: Final answer
    x = 247,234.10

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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.