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Finding the Fourth Proportional to 340,260.99, 510,746.16 and 150,854.36

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Solution

The fourth proportional to 340,260.99, 510,746.16 and 150,854.36 is: 226,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,260.99 : 510,746.16 = 150,854.36 : x
  2. Step 2: Convert to fraction form
    340,260.99/510,746.16 = 150,854.36/x
  3. Step 3: Cross multiply
    340,260.99x = 510,746.16 × 150,854.36
  4. Step 4: Simplify right side
    340,260.99x = 77,048,285,988.99
  5. Step 5: Solve for x
    x = 77,048,285,988.99/340,260.99
  6. Step 6: Final answer
    x = 226,438.79

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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.