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Finding the Fourth Proportional to 446,233.72, 615,574.38 and 284,919.16

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Solution

The fourth proportional to 446,233.72, 615,574.38 and 284,919.16 is: 393,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,233.72 : 615,574.38 = 284,919.16 : x
  2. Step 2: Convert to fraction form
    446,233.72/615,574.38 = 284,919.16/x
  3. Step 3: Cross multiply
    446,233.72x = 615,574.38 × 284,919.16
  4. Step 4: Simplify right side
    446,233.72x = 175,388,935,267.12
  5. Step 5: Solve for x
    x = 175,388,935,267.12/446,233.72
  6. Step 6: Final answer
    x = 393,042.77

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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.