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Finding the Fourth Proportional to 294,506.39, 406,409.73 and 173,655.20

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Solution

The fourth proportional to 294,506.39, 406,409.73 and 173,655.20 is: 239,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506.39 : 406,409.73 = 173,655.20 : x
  2. Step 2: Convert to fraction form
    294,506.39/406,409.73 = 173,655.20/x
  3. Step 3: Cross multiply
    294,506.39x = 406,409.73 × 173,655.20
  4. Step 4: Simplify right side
    294,506.39x = 70,575,162,945.10
  5. Step 5: Solve for x
    x = 70,575,162,945.10/294,506.39
  6. Step 6: Final answer
    x = 239,638.82

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Why These Related Problems?

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