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Finding the Fourth Proportional to 409,636.32, 565,066.58 and 256,408.53

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Solution

The fourth proportional to 409,636.32, 565,066.58 and 256,408.53 is: 353,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,636.32 : 565,066.58 = 256,408.53 : x
  2. Step 2: Convert to fraction form
    409,636.32/565,066.58 = 256,408.53/x
  3. Step 3: Cross multiply
    409,636.32x = 565,066.58 × 256,408.53
  4. Step 4: Simplify right side
    409,636.32x = 144,887,889,847.89
  5. Step 5: Solve for x
    x = 144,887,889,847.89/409,636.32
  6. Step 6: Final answer
    x = 353,698.84

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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.