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Finding the Fourth Proportional to 296,401.93, 409,111.30 and 193,293.13

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Solution

The fourth proportional to 296,401.93, 409,111.30 and 193,293.13 is: 266,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,401.93 : 409,111.30 = 193,293.13 : x
  2. Step 2: Convert to fraction form
    296,401.93/409,111.30 = 193,293.13/x
  3. Step 3: Cross multiply
    296,401.93x = 409,111.30 × 193,293.13
  4. Step 4: Simplify right side
    296,401.93x = 79,078,403,695.37
  5. Step 5: Solve for x
    x = 79,078,403,695.37/296,401.93
  6. Step 6: Final answer
    x = 266,794.50

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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.