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Finding the Fourth Proportional to 340,291.48, 510,437.24 and 90,967

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Solution

The fourth proportional to 340,291.48, 510,437.24 and 90,967 is: 136,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.48 : 510,437.24 = 90,967 : x
  2. Step 2: Convert to fraction form
    340,291.48/510,437.24 = 90,967/x
  3. Step 3: Cross multiply
    340,291.48x = 510,437.24 × 90,967
  4. Step 4: Simplify right side
    340,291.48x = 46,432,944,411.08
  5. Step 5: Solve for x
    x = 46,432,944,411.08/340,291.48
  6. Step 6: Final answer
    x = 136,450.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.