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Finding the Fourth Proportional to 294,753.97, 442,224.36 and 105,210.14

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Solution

The fourth proportional to 294,753.97, 442,224.36 and 105,210.14 is: 157,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,753.97 : 442,224.36 = 105,210.14 : x
  2. Step 2: Convert to fraction form
    294,753.97/442,224.36 = 105,210.14/x
  3. Step 3: Cross multiply
    294,753.97x = 442,224.36 × 105,210.14
  4. Step 4: Simplify right side
    294,753.97x = 46,526,484,615.89
  5. Step 5: Solve for x
    x = 46,526,484,615.89/294,753.97
  6. Step 6: Final answer
    x = 157,848.54

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1.5x scale

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.