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Finding the Fourth Proportional to 285,106.66, 393,459.55 and 157,782.30

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Solution

The fourth proportional to 285,106.66, 393,459.55 and 157,782.30 is: 217,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,106.66 : 393,459.55 = 157,782.30 : x
  2. Step 2: Convert to fraction form
    285,106.66/393,459.55 = 157,782.30/x
  3. Step 3: Cross multiply
    285,106.66x = 393,459.55 × 157,782.30
  4. Step 4: Simplify right side
    285,106.66x = 62,080,952,755.97
  5. Step 5: Solve for x
    x = 62,080,952,755.97/285,106.66
  6. Step 6: Final answer
    x = 217,746.41

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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.