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Finding the Fourth Proportional to 711,841.23, 981,319.25 and 507,537.77

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Solution

The fourth proportional to 711,841.23, 981,319.25 and 507,537.77 is: 699,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,841.23 : 981,319.25 = 507,537.77 : x
  2. Step 2: Convert to fraction form
    711,841.23/981,319.25 = 507,537.77/x
  3. Step 3: Cross multiply
    711,841.23x = 981,319.25 × 507,537.77
  4. Step 4: Simplify right side
    711,841.23x = 498,056,580,165.32
  5. Step 5: Solve for x
    x = 498,056,580,165.32/711,841.23
  6. Step 6: Final answer
    x = 699,673.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.