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Finding the Fourth Proportional to 506,533.12, 699,007.08 and 280,178.44

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Solution

The fourth proportional to 506,533.12, 699,007.08 and 280,178.44 is: 386,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,533.12 : 699,007.08 = 280,178.44 : x
  2. Step 2: Convert to fraction form
    506,533.12/699,007.08 = 280,178.44/x
  3. Step 3: Cross multiply
    506,533.12x = 699,007.08 × 280,178.44
  4. Step 4: Simplify right side
    506,533.12x = 195,846,713,223.36
  5. Step 5: Solve for x
    x = 195,846,713,223.36/506,533.12
  6. Step 6: Final answer
    x = 386,641.48

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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.