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Finding the Fourth Proportional to 565,416.24, 780,280.44 and 307,293.20

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Solution

The fourth proportional to 565,416.24, 780,280.44 and 307,293.20 is: 424,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,416.24 : 780,280.44 = 307,293.20 : x
  2. Step 2: Convert to fraction form
    565,416.24/780,280.44 = 307,293.20/x
  3. Step 3: Cross multiply
    565,416.24x = 780,280.44 × 307,293.20
  4. Step 4: Simplify right side
    565,416.24x = 239,774,873,305.01
  5. Step 5: Solve for x
    x = 239,774,873,305.01/565,416.24
  6. Step 6: Final answer
    x = 424,067.89

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