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Finding the Fourth Proportional to 294,744.20, 442,116.30 and 97,752.20

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Solution

The fourth proportional to 294,744.20, 442,116.30 and 97,752.20 is: 146,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,744.20 : 442,116.30 = 97,752.20 : x
  2. Step 2: Convert to fraction form
    294,744.20/442,116.30 = 97,752.20/x
  3. Step 3: Cross multiply
    294,744.20x = 442,116.30 × 97,752.20
  4. Step 4: Simplify right side
    294,744.20x = 43,217,840,980.86
  5. Step 5: Solve for x
    x = 43,217,840,980.86/294,744.20
  6. Step 6: Final answer
    x = 146,628.30

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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.