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Finding the Fourth Proportional to 285,152.94, 393,494.76 and 157,820.94

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Solution

The fourth proportional to 285,152.94, 393,494.76 and 157,820.94 is: 217,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.94 : 393,494.76 = 157,820.94 : x
  2. Step 2: Convert to fraction form
    285,152.94/393,494.76 = 157,820.94/x
  3. Step 3: Cross multiply
    285,152.94x = 393,494.76 × 157,820.94
  4. Step 4: Simplify right side
    285,152.94x = 62,101,712,908.27
  5. Step 5: Solve for x
    x = 62,101,712,908.27/285,152.94
  6. Step 6: Final answer
    x = 217,783.88

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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.