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Finding the Fourth Proportional to 507,772.56, 700,797.91 and 314,242.64

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Solution

The fourth proportional to 507,772.56, 700,797.91 and 314,242.64 is: 433,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,772.56 : 700,797.91 = 314,242.64 : x
  2. Step 2: Convert to fraction form
    507,772.56/700,797.91 = 314,242.64/x
  3. Step 3: Cross multiply
    507,772.56x = 700,797.91 × 314,242.64
  4. Step 4: Simplify right side
    507,772.56x = 220,220,582,626.50
  5. Step 5: Solve for x
    x = 220,220,582,626.50/507,772.56
  6. Step 6: Final answer
    x = 433,699.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.