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Finding the Fourth Proportional to 363,686.40, 543,075.84 and 297,260.16

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Solution

The fourth proportional to 363,686.40, 543,075.84 and 297,260.16 is: 443,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,686.40 : 543,075.84 = 297,260.16 : x
  2. Step 2: Convert to fraction form
    363,686.40/543,075.84 = 297,260.16/x
  3. Step 3: Cross multiply
    363,686.40x = 543,075.84 × 297,260.16
  4. Step 4: Simplify right side
    363,686.40x = 161,434,811,090.53
  5. Step 5: Solve for x
    x = 161,434,811,090.53/363,686.40
  6. Step 6: Final answer
    x = 443,884.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.