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Finding the Fourth Proportional to 294,863.05, 406,998.53 and 191,494.45

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Solution

The fourth proportional to 294,863.05, 406,998.53 and 191,494.45 is: 264,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.05 : 406,998.53 = 191,494.45 : x
  2. Step 2: Convert to fraction form
    294,863.05/406,998.53 = 191,494.45/x
  3. Step 3: Cross multiply
    294,863.05x = 406,998.53 × 191,494.45
  4. Step 4: Simplify right side
    294,863.05x = 77,937,959,653.16
  5. Step 5: Solve for x
    x = 77,937,959,653.16/294,863.05
  6. Step 6: Final answer
    x = 264,319.18

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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.