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Finding the Fourth Proportional to 314,888.59, 434,524.54 and 177,088.12

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Solution

The fourth proportional to 314,888.59, 434,524.54 and 177,088.12 is: 244,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,888.59 : 434,524.54 = 177,088.12 : x
  2. Step 2: Convert to fraction form
    314,888.59/434,524.54 = 177,088.12/x
  3. Step 3: Cross multiply
    314,888.59x = 434,524.54 × 177,088.12
  4. Step 4: Simplify right side
    314,888.59x = 76,949,133,882.46
  5. Step 5: Solve for x
    x = 76,949,133,882.46/314,888.59
  6. Step 6: Final answer
    x = 244,369.39

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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.