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Finding the Fourth Proportional to 297,186.55, 409,809.10 and 254,307.93

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Solution

The fourth proportional to 297,186.55, 409,809.10 and 254,307.93 is: 350,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,186.55 : 409,809.10 = 254,307.93 : x
  2. Step 2: Convert to fraction form
    297,186.55/409,809.10 = 254,307.93/x
  3. Step 3: Cross multiply
    297,186.55x = 409,809.10 × 254,307.93
  4. Step 4: Simplify right side
    297,186.55x = 104,217,704,234.05
  5. Step 5: Solve for x
    x = 104,217,704,234.05/297,186.55
  6. Step 6: Final answer
    x = 350,681.10

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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.