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Finding the Fourth Proportional to 294,901.56, 442,345.86 and 84,541.32

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Solution

The fourth proportional to 294,901.56, 442,345.86 and 84,541.32 is: 126,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,901.56 : 442,345.86 = 84,541.32 : x
  2. Step 2: Convert to fraction form
    294,901.56/442,345.86 = 84,541.32/x
  3. Step 3: Cross multiply
    294,901.56x = 442,345.86 × 84,541.32
  4. Step 4: Simplify right side
    294,901.56x = 37,396,502,900.94
  5. Step 5: Solve for x
    x = 37,396,502,900.94/294,901.56
  6. Step 6: Final answer
    x = 126,810.12

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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.