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Finding the Fourth Proportional to 294,463.80, 441,695.70 and 147,007.80

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Solution

The fourth proportional to 294,463.80, 441,695.70 and 147,007.80 is: 220,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,463.80 : 441,695.70 = 147,007.80 : x
  2. Step 2: Convert to fraction form
    294,463.80/441,695.70 = 147,007.80/x
  3. Step 3: Cross multiply
    294,463.80x = 441,695.70 × 147,007.80
  4. Step 4: Simplify right side
    294,463.80x = 64,932,713,126.46
  5. Step 5: Solve for x
    x = 64,932,713,126.46/294,463.80
  6. Step 6: Final answer
    x = 220,511.70

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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.