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Finding the Fourth Proportional to 601,280.88, 829,368.87 and 386,692.44

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Solution

The fourth proportional to 601,280.88, 829,368.87 and 386,692.44 is: 533,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,280.88 : 829,368.87 = 386,692.44 : x
  2. Step 2: Convert to fraction form
    601,280.88/829,368.87 = 386,692.44/x
  3. Step 3: Cross multiply
    601,280.88x = 829,368.87 × 386,692.44
  4. Step 4: Simplify right side
    601,280.88x = 320,710,672,000.34
  5. Step 5: Solve for x
    x = 320,710,672,000.34/601,280.88
  6. Step 6: Final answer
    x = 533,379.13

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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.