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Finding the Fourth Proportional to 407,207.94, 561,973.50 and 235,133.16

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Solution

The fourth proportional to 407,207.94, 561,973.50 and 235,133.16 is: 324,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,207.94 : 561,973.50 = 235,133.16 : x
  2. Step 2: Convert to fraction form
    407,207.94/561,973.50 = 235,133.16/x
  3. Step 3: Cross multiply
    407,207.94x = 561,973.50 × 235,133.16
  4. Step 4: Simplify right side
    407,207.94x = 132,138,604,891.26
  5. Step 5: Solve for x
    x = 132,138,604,891.26/407,207.94
  6. Step 6: Final answer
    x = 324,499.09

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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.