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Finding the Fourth Proportional to 471,196.36, 650,036.10 and 280,101.16

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Solution

The fourth proportional to 471,196.36, 650,036.10 and 280,101.16 is: 386,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,196.36 : 650,036.10 = 280,101.16 : x
  2. Step 2: Convert to fraction form
    471,196.36/650,036.10 = 280,101.16/x
  3. Step 3: Cross multiply
    471,196.36x = 650,036.10 × 280,101.16
  4. Step 4: Simplify right side
    471,196.36x = 182,075,865,651.88
  5. Step 5: Solve for x
    x = 182,075,865,651.88/471,196.36
  6. Step 6: Final answer
    x = 386,411.87

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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.