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Finding the Fourth Proportional to 256,935.65, 385,844.51 and 157,678.65

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Solution

The fourth proportional to 256,935.65, 385,844.51 and 157,678.65 is: 236,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,935.65 : 385,844.51 = 157,678.65 : x
  2. Step 2: Convert to fraction form
    256,935.65/385,844.51 = 157,678.65/x
  3. Step 3: Cross multiply
    256,935.65x = 385,844.51 × 157,678.65
  4. Step 4: Simplify right side
    256,935.65x = 60,839,441,840.91
  5. Step 5: Solve for x
    x = 60,839,441,840.91/256,935.65
  6. Step 6: Final answer
    x = 236,788.64

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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.