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Finding the Fourth Proportional to 409,904.20, 614,280.30 and 325,808.20

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Solution

The fourth proportional to 409,904.20, 614,280.30 and 325,808.20 is: 488,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904.20 : 614,280.30 = 325,808.20 : x
  2. Step 2: Convert to fraction form
    409,904.20/614,280.30 = 325,808.20/x
  3. Step 3: Cross multiply
    409,904.20x = 614,280.30 × 325,808.20
  4. Step 4: Simplify right side
    409,904.20x = 200,137,558,838.46
  5. Step 5: Solve for x
    x = 200,137,558,838.46/409,904.20
  6. Step 6: Final answer
    x = 488,254.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.