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Finding the Fourth Proportional to 296,776.98, 409,559.85 and 182,118.96

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Solution

The fourth proportional to 296,776.98, 409,559.85 and 182,118.96 is: 251,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,776.98 : 409,559.85 = 182,118.96 : x
  2. Step 2: Convert to fraction form
    296,776.98/409,559.85 = 182,118.96/x
  3. Step 3: Cross multiply
    296,776.98x = 409,559.85 × 182,118.96
  4. Step 4: Simplify right side
    296,776.98x = 74,588,613,939.76
  5. Step 5: Solve for x
    x = 74,588,613,939.76/296,776.98
  6. Step 6: Final answer
    x = 251,328.84

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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.