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Finding the Fourth Proportional to 390,412.08, 585,224.46 and 296,721

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Solution

The fourth proportional to 390,412.08, 585,224.46 and 296,721 is: 444,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,412.08 : 585,224.46 = 296,721 : x
  2. Step 2: Convert to fraction form
    390,412.08/585,224.46 = 296,721/x
  3. Step 3: Cross multiply
    390,412.08x = 585,224.46 × 296,721
  4. Step 4: Simplify right side
    390,412.08x = 173,648,386,995.66
  5. Step 5: Solve for x
    x = 173,648,386,995.66/390,412.08
  6. Step 6: Final answer
    x = 444,782.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.