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Finding the Fourth Proportional to 702,835.88, 969,982.98 and 401,075.24

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Solution

The fourth proportional to 702,835.88, 969,982.98 and 401,075.24 is: 553,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,835.88 : 969,982.98 = 401,075.24 : x
  2. Step 2: Convert to fraction form
    702,835.88/969,982.98 = 401,075.24/x
  3. Step 3: Cross multiply
    702,835.88x = 969,982.98 × 401,075.24
  4. Step 4: Simplify right side
    702,835.88x = 389,036,156,499.42
  5. Step 5: Solve for x
    x = 389,036,156,499.42/702,835.88
  6. Step 6: Final answer
    x = 553,523.47

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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.