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Finding the Fourth Proportional to 503,401.98, 694,573.21 and 296,678.87

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Solution

The fourth proportional to 503,401.98, 694,573.21 and 296,678.87 is: 409,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,401.98 : 694,573.21 = 296,678.87 : x
  2. Step 2: Convert to fraction form
    503,401.98/694,573.21 = 296,678.87/x
  3. Step 3: Cross multiply
    503,401.98x = 694,573.21 × 296,678.87
  4. Step 4: Simplify right side
    503,401.98x = 206,065,195,075.07
  5. Step 5: Solve for x
    x = 206,065,195,075.07/503,401.98
  6. Step 6: Final answer
    x = 409,345.22

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1.5x scale

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.