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Finding the Fourth Proportional to 409,904.40, 614,856.60 and 378,411.60

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Solution

The fourth proportional to 409,904.40, 614,856.60 and 378,411.60 is: 567,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904.40 : 614,856.60 = 378,411.60 : x
  2. Step 2: Convert to fraction form
    409,904.40/614,856.60 = 378,411.60/x
  3. Step 3: Cross multiply
    409,904.40x = 614,856.60 × 378,411.60
  4. Step 4: Simplify right side
    409,904.40x = 232,668,869,776.56
  5. Step 5: Solve for x
    x = 232,668,869,776.56/409,904.40
  6. Step 6: Final answer
    x = 567,617.40

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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.