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Finding the Fourth Proportional to 294,404.16, 406,330.92 and 173,538.48

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Solution

The fourth proportional to 294,404.16, 406,330.92 and 173,538.48 is: 239,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,404.16 : 406,330.92 = 173,538.48 : x
  2. Step 2: Convert to fraction form
    294,404.16/406,330.92 = 173,538.48/x
  3. Step 3: Cross multiply
    294,404.16x = 406,330.92 × 173,538.48
  4. Step 4: Simplify right side
    294,404.16x = 70,514,050,233.80
  5. Step 5: Solve for x
    x = 70,514,050,233.80/294,404.16
  6. Step 6: Final answer
    x = 239,514.45

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1.5x scale

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.