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Finding the Fourth Proportional to 299,720.16, 413,184.78 and 184,922.10

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Solution

The fourth proportional to 299,720.16, 413,184.78 and 184,922.10 is: 254,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,720.16 : 413,184.78 = 184,922.10 : x
  2. Step 2: Convert to fraction form
    299,720.16/413,184.78 = 184,922.10/x
  3. Step 3: Cross multiply
    299,720.16x = 413,184.78 × 184,922.10
  4. Step 4: Simplify right side
    299,720.16x = 76,406,997,205.64
  5. Step 5: Solve for x
    x = 76,406,997,205.64/299,720.16
  6. Step 6: Final answer
    x = 254,927.79

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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.