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Finding the Fourth Proportional to 409,426.64, 565,050.32 and 228,168.08

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Solution

The fourth proportional to 409,426.64, 565,050.32 and 228,168.08 is: 314,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,426.64 : 565,050.32 = 228,168.08 : x
  2. Step 2: Convert to fraction form
    409,426.64/565,050.32 = 228,168.08/x
  3. Step 3: Cross multiply
    409,426.64x = 565,050.32 × 228,168.08
  4. Step 4: Simplify right side
    409,426.64x = 128,926,446,617.79
  5. Step 5: Solve for x
    x = 128,926,446,617.79/409,426.64
  6. Step 6: Final answer
    x = 314,895.11

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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.