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Finding the Fourth Proportional to 584,871.72, 877,338.77 and 185,544.42

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Solution

The fourth proportional to 584,871.72, 877,338.77 and 185,544.42 is: 278,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,871.72 : 877,338.77 = 185,544.42 : x
  2. Step 2: Convert to fraction form
    584,871.72/877,338.77 = 185,544.42/x
  3. Step 3: Cross multiply
    584,871.72x = 877,338.77 × 185,544.42
  4. Step 4: Simplify right side
    584,871.72x = 162,785,312,295.44
  5. Step 5: Solve for x
    x = 162,785,312,295.44/584,871.72
  6. Step 6: Final answer
    x = 278,326.52

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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.