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Finding the Fourth Proportional to 514,692.99, 710,304.65 and 285,245.50

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Solution

The fourth proportional to 514,692.99, 710,304.65 and 285,245.50 is: 393,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,692.99 : 710,304.65 = 285,245.50 : x
  2. Step 2: Convert to fraction form
    514,692.99/710,304.65 = 285,245.50/x
  3. Step 3: Cross multiply
    514,692.99x = 710,304.65 × 285,245.50
  4. Step 4: Simplify right side
    514,692.99x = 202,611,205,041.58
  5. Step 5: Solve for x
    x = 202,611,205,041.58/514,692.99
  6. Step 6: Final answer
    x = 393,654.49

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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.