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Finding the Fourth Proportional to 563,676.50, 778,281.82 and 362,822.42

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Solution

The fourth proportional to 563,676.50, 778,281.82 and 362,822.42 is: 500,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,676.50 : 778,281.82 = 362,822.42 : x
  2. Step 2: Convert to fraction form
    563,676.50/778,281.82 = 362,822.42/x
  3. Step 3: Cross multiply
    563,676.50x = 778,281.82 × 362,822.42
  4. Step 4: Simplify right side
    563,676.50x = 282,378,093,374.40
  5. Step 5: Solve for x
    x = 282,378,093,374.40/563,676.50
  6. Step 6: Final answer
    x = 500,957.72

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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.