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Finding the Fourth Proportional to 409,661.60, 614,492.40 and 407,037.20

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Solution

The fourth proportional to 409,661.60, 614,492.40 and 407,037.20 is: 610,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,661.60 : 614,492.40 = 407,037.20 : x
  2. Step 2: Convert to fraction form
    409,661.60/614,492.40 = 407,037.20/x
  3. Step 3: Cross multiply
    409,661.60x = 614,492.40 × 407,037.20
  4. Step 4: Simplify right side
    409,661.60x = 250,121,265,917.28
  5. Step 5: Solve for x
    x = 250,121,265,917.28/409,661.60
  6. Step 6: Final answer
    x = 610,555.80

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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.