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Finding the Fourth Proportional to 395,643.30, 594,011.70 and 254,363.10

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Solution

The fourth proportional to 395,643.30, 594,011.70 and 254,363.10 is: 381,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,643.30 : 594,011.70 = 254,363.10 : x
  2. Step 2: Convert to fraction form
    395,643.30/594,011.70 = 254,363.10/x
  3. Step 3: Cross multiply
    395,643.30x = 594,011.70 × 254,363.10
  4. Step 4: Simplify right side
    395,643.30x = 151,094,657,448.27
  5. Step 5: Solve for x
    x = 151,094,657,448.27/395,643.30
  6. Step 6: Final answer
    x = 381,896.16

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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.