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Finding the Fourth Proportional to 524,652.40, 785,164.20 and 314,441.20

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Solution

The fourth proportional to 524,652.40, 785,164.20 and 314,441.20 is: 470,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.40 : 785,164.20 = 314,441.20 : x
  2. Step 2: Convert to fraction form
    524,652.40/785,164.20 = 314,441.20/x
  3. Step 3: Cross multiply
    524,652.40x = 785,164.20 × 314,441.20
  4. Step 4: Simplify right side
    524,652.40x = 246,887,973,245.04
  5. Step 5: Solve for x
    x = 246,887,973,245.04/524,652.40
  6. Step 6: Final answer
    x = 470,574.37

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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.