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Finding the Fourth Proportional to 563,765.82, 845,833.05 and 208,805.82

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Solution

The fourth proportional to 563,765.82, 845,833.05 and 208,805.82 is: 313,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,765.82 : 845,833.05 = 208,805.82 : x
  2. Step 2: Convert to fraction form
    563,765.82/845,833.05 = 208,805.82/x
  3. Step 3: Cross multiply
    563,765.82x = 845,833.05 × 208,805.82
  4. Step 4: Simplify right side
    563,765.82x = 176,614,863,588.35
  5. Step 5: Solve for x
    x = 176,614,863,588.35/563,765.82
  6. Step 6: Final answer
    x = 313,277.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.