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Finding the Fourth Proportional to 340,265.48, 510,398.22 and 90,941

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Solution

The fourth proportional to 340,265.48, 510,398.22 and 90,941 is: 136,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,265.48 : 510,398.22 = 90,941 : x
  2. Step 2: Convert to fraction form
    340,265.48/510,398.22 = 90,941/x
  3. Step 3: Cross multiply
    340,265.48x = 510,398.22 × 90,941
  4. Step 4: Simplify right side
    340,265.48x = 46,416,124,525.02
  5. Step 5: Solve for x
    x = 46,416,124,525.02/340,265.48
  6. Step 6: Final answer
    x = 136,411.50

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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.