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Finding the Fourth Proportional to 314,690.84, 434,258.24 and 178,706.82

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Solution

The fourth proportional to 314,690.84, 434,258.24 and 178,706.82 is: 246,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,690.84 : 434,258.24 = 178,706.82 : x
  2. Step 2: Convert to fraction form
    314,690.84/434,258.24 = 178,706.82/x
  3. Step 3: Cross multiply
    314,690.84x = 434,258.24 × 178,706.82
  4. Step 4: Simplify right side
    314,690.84x = 77,604,909,129.20
  5. Step 5: Solve for x
    x = 77,604,909,129.20/314,690.84
  6. Step 6: Final answer
    x = 246,606.83

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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.