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Finding the Fourth Proportional to 294,142.91, 406,005.95 and 254,284.83

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Solution

The fourth proportional to 294,142.91, 406,005.95 and 254,284.83 is: 350,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,142.91 : 406,005.95 = 254,284.83 : x
  2. Step 2: Convert to fraction form
    294,142.91/406,005.95 = 254,284.83/x
  3. Step 3: Cross multiply
    294,142.91x = 406,005.95 × 254,284.83
  4. Step 4: Simplify right side
    294,142.91x = 103,241,152,703.31
  5. Step 5: Solve for x
    x = 103,241,152,703.31/294,142.91
  6. Step 6: Final answer
    x = 350,989.78

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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.