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Finding the Fourth Proportional to 409,653.68, 565,320.76 and 228,363.60

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Solution

The fourth proportional to 409,653.68, 565,320.76 and 228,363.60 is: 315,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,653.68 : 565,320.76 = 228,363.60 : x
  2. Step 2: Convert to fraction form
    409,653.68/565,320.76 = 228,363.60/x
  3. Step 3: Cross multiply
    409,653.68x = 565,320.76 × 228,363.60
  4. Step 4: Simplify right side
    409,653.68x = 129,098,683,908.34
  5. Step 5: Solve for x
    x = 129,098,683,908.34/409,653.68
  6. Step 6: Final answer
    x = 315,141.03

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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.