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Finding the Fourth Proportional to 561,692.48, 774,633.76 and 466,047.68

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Solution

The fourth proportional to 561,692.48, 774,633.76 and 466,047.68 is: 642,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,692.48 : 774,633.76 = 466,047.68 : x
  2. Step 2: Convert to fraction form
    561,692.48/774,633.76 = 466,047.68/x
  3. Step 3: Cross multiply
    561,692.48x = 774,633.76 × 466,047.68
  4. Step 4: Simplify right side
    561,692.48x = 361,016,266,697.68
  5. Step 5: Solve for x
    x = 361,016,266,697.68/561,692.48
  6. Step 6: Final answer
    x = 642,729.39

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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.