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Finding the Fourth Proportional to 309,595.74, 464,239.71 and 99,206.34

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Solution

The fourth proportional to 309,595.74, 464,239.71 and 99,206.34 is: 148,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,595.74 : 464,239.71 = 99,206.34 : x
  2. Step 2: Convert to fraction form
    309,595.74/464,239.71 = 99,206.34/x
  3. Step 3: Cross multiply
    309,595.74x = 464,239.71 × 99,206.34
  4. Step 4: Simplify right side
    309,595.74x = 46,055,522,511.76
  5. Step 5: Solve for x
    x = 46,055,522,511.76/309,595.74
  6. Step 6: Final answer
    x = 148,760.19

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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.