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Finding the Fourth Proportional to 393,609.72, 590,341.14 and 105,424.68

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Solution

The fourth proportional to 393,609.72, 590,341.14 and 105,424.68 is: 158,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,609.72 : 590,341.14 = 105,424.68 : x
  2. Step 2: Convert to fraction form
    393,609.72/590,341.14 = 105,424.68/x
  3. Step 3: Cross multiply
    393,609.72x = 590,341.14 × 105,424.68
  4. Step 4: Simplify right side
    393,609.72x = 62,236,525,775.34
  5. Step 5: Solve for x
    x = 62,236,525,775.34/393,609.72
  6. Step 6: Final answer
    x = 158,117.35

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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.