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Finding the Fourth Proportional to 390,416.08, 585,230.46 and 296,725

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Solution

The fourth proportional to 390,416.08, 585,230.46 and 296,725 is: 444,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,416.08 : 585,230.46 = 296,725 : x
  2. Step 2: Convert to fraction form
    390,416.08/585,230.46 = 296,725/x
  3. Step 3: Cross multiply
    390,416.08x = 585,230.46 × 296,725
  4. Step 4: Simplify right side
    390,416.08x = 173,652,508,243.50
  5. Step 5: Solve for x
    x = 173,652,508,243.50/390,416.08
  6. Step 6: Final answer
    x = 444,788.31

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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.