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Finding the Fourth Proportional to 559,391.82, 772,016.40 and 341,588.46

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Solution

The fourth proportional to 559,391.82, 772,016.40 and 341,588.46 is: 471,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,391.82 : 772,016.40 = 341,588.46 : x
  2. Step 2: Convert to fraction form
    559,391.82/772,016.40 = 341,588.46/x
  3. Step 3: Cross multiply
    559,391.82x = 772,016.40 × 341,588.46
  4. Step 4: Simplify right side
    559,391.82x = 263,711,893,170.74
  5. Step 5: Solve for x
    x = 263,711,893,170.74/559,391.82
  6. Step 6: Final answer
    x = 471,426.08

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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.