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Finding the Fourth Proportional to 347,713.86, 521,570.80 and 189,856.20

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Solution

The fourth proportional to 347,713.86, 521,570.80 and 189,856.20 is: 284,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,713.86 : 521,570.80 = 189,856.20 : x
  2. Step 2: Convert to fraction form
    347,713.86/521,570.80 = 189,856.20/x
  3. Step 3: Cross multiply
    347,713.86x = 521,570.80 × 189,856.20
  4. Step 4: Simplify right side
    347,713.86x = 99,023,450,118.96
  5. Step 5: Solve for x
    x = 99,023,450,118.96/347,713.86
  6. Step 6: Final answer
    x = 284,784.31

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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.