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Finding the Fourth Proportional to 343,036.86, 514,508.58 and 90,296.18

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Solution

The fourth proportional to 343,036.86, 514,508.58 and 90,296.18 is: 135,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,036.86 : 514,508.58 = 90,296.18 : x
  2. Step 2: Convert to fraction form
    343,036.86/514,508.58 = 90,296.18/x
  3. Step 3: Cross multiply
    343,036.86x = 514,508.58 × 90,296.18
  4. Step 4: Simplify right side
    343,036.86x = 46,458,160,637.50
  5. Step 5: Solve for x
    x = 46,458,160,637.50/343,036.86
  6. Step 6: Final answer
    x = 135,431.98

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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.