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Finding the Fourth Proportional to 656,843.72, 906,507.18 and 411,867.50

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Solution

The fourth proportional to 656,843.72, 906,507.18 and 411,867.50 is: 568,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,843.72 : 906,507.18 = 411,867.50 : x
  2. Step 2: Convert to fraction form
    656,843.72/906,507.18 = 411,867.50/x
  3. Step 3: Cross multiply
    656,843.72x = 906,507.18 × 411,867.50
  4. Step 4: Simplify right side
    656,843.72x = 373,360,841,426.11
  5. Step 5: Solve for x
    x = 373,360,841,426.11/656,843.72
  6. Step 6: Final answer
    x = 568,416.55

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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.