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Finding the Fourth Proportional to 390,228.42, 585,334.42 and 179,866.36

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Solution

The fourth proportional to 390,228.42, 585,334.42 and 179,866.36 is: 269,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,228.42 : 585,334.42 = 179,866.36 : x
  2. Step 2: Convert to fraction form
    390,228.42/585,334.42 = 179,866.36/x
  3. Step 3: Cross multiply
    390,228.42x = 585,334.42 × 179,866.36
  4. Step 4: Simplify right side
    390,228.42x = 105,281,971,508.11
  5. Step 5: Solve for x
    x = 105,281,971,508.11/390,228.42
  6. Step 6: Final answer
    x = 269,795.76

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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.