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Finding the Fourth Proportional to 216,412.28, 326,095.60 and 177,833.60

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Solution

The fourth proportional to 216,412.28, 326,095.60 and 177,833.60 is: 267,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,412.28 : 326,095.60 = 177,833.60 : x
  2. Step 2: Convert to fraction form
    216,412.28/326,095.60 = 177,833.60/x
  3. Step 3: Cross multiply
    216,412.28x = 326,095.60 × 177,833.60
  4. Step 4: Simplify right side
    216,412.28x = 57,990,754,492.16
  5. Step 5: Solve for x
    x = 57,990,754,492.16/216,412.28
  6. Step 6: Final answer
    x = 267,964.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.