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Finding the Fourth Proportional to 535,692.16, 803,515.20 and 161,704

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Solution

The fourth proportional to 535,692.16, 803,515.20 and 161,704 is: 242,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,692.16 : 803,515.20 = 161,704 : x
  2. Step 2: Convert to fraction form
    535,692.16/803,515.20 = 161,704/x
  3. Step 3: Cross multiply
    535,692.16x = 803,515.20 × 161,704
  4. Step 4: Simplify right side
    535,692.16x = 129,931,621,900.80
  5. Step 5: Solve for x
    x = 129,931,621,900.80/535,692.16
  6. Step 6: Final answer
    x = 242,549.05

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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.