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Finding the Fourth Proportional to 382,259.70, 527,519.74 and 210,188.48

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Solution

The fourth proportional to 382,259.70, 527,519.74 and 210,188.48 is: 290,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,259.70 : 527,519.74 = 210,188.48 : x
  2. Step 2: Convert to fraction form
    382,259.70/527,519.74 = 210,188.48/x
  3. Step 3: Cross multiply
    382,259.70x = 527,519.74 × 210,188.48
  4. Step 4: Simplify right side
    382,259.70x = 110,878,572,320.60
  5. Step 5: Solve for x
    x = 110,878,572,320.60/382,259.70
  6. Step 6: Final answer
    x = 290,060.85

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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.