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Finding the Fourth Proportional to 538,305.75, 807,583.71 and 183,322.85

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Solution

The fourth proportional to 538,305.75, 807,583.71 and 183,322.85 is: 275,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,305.75 : 807,583.71 = 183,322.85 : x
  2. Step 2: Convert to fraction form
    538,305.75/807,583.71 = 183,322.85/x
  3. Step 3: Cross multiply
    538,305.75x = 807,583.71 × 183,322.85
  4. Step 4: Simplify right side
    538,305.75x = 148,048,547,330.77
  5. Step 5: Solve for x
    x = 148,048,547,330.77/538,305.75
  6. Step 6: Final answer
    x = 275,026.87

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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.