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Finding the Fourth Proportional to 314,560.80, 434,056.32 and 178,545.60

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Solution

The fourth proportional to 314,560.80, 434,056.32 and 178,545.60 is: 246,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,560.80 : 434,056.32 = 178,545.60 : x
  2. Step 2: Convert to fraction form
    314,560.80/434,056.32 = 178,545.60/x
  3. Step 3: Cross multiply
    314,560.80x = 434,056.32 × 178,545.60
  4. Step 4: Simplify right side
    314,560.80x = 77,498,846,088.19
  5. Step 5: Solve for x
    x = 77,498,846,088.19/314,560.80
  6. Step 6: Final answer
    x = 246,371.60

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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.