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Finding the Fourth Proportional to 524,616.40, 785,110.20 and 314,405.20

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Solution

The fourth proportional to 524,616.40, 785,110.20 and 314,405.20 is: 470,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,616.40 : 785,110.20 = 314,405.20 : x
  2. Step 2: Convert to fraction form
    524,616.40/785,110.20 = 314,405.20/x
  3. Step 3: Cross multiply
    524,616.40x = 785,110.20 × 314,405.20
  4. Step 4: Simplify right side
    524,616.40x = 246,842,729,453.04
  5. Step 5: Solve for x
    x = 246,842,729,453.04/524,616.40
  6. Step 6: Final answer
    x = 470,520.42

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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.