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Finding the Fourth Proportional to 498,678.39, 748,345.77 and 183,138.03

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Solution

The fourth proportional to 498,678.39, 748,345.77 and 183,138.03 is: 274,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,678.39 : 748,345.77 = 183,138.03 : x
  2. Step 2: Convert to fraction form
    498,678.39/748,345.77 = 183,138.03/x
  3. Step 3: Cross multiply
    498,678.39x = 748,345.77 × 183,138.03
  4. Step 4: Simplify right side
    498,678.39x = 137,050,570,076.63
  5. Step 5: Solve for x
    x = 137,050,570,076.63/498,678.39
  6. Step 6: Final answer
    x = 274,827.57

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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.