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Finding the Fourth Proportional to 280,032.08, 386,473.88 and 171,200.16

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Solution

The fourth proportional to 280,032.08, 386,473.88 and 171,200.16 is: 236,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,032.08 : 386,473.88 = 171,200.16 : x
  2. Step 2: Convert to fraction form
    280,032.08/386,473.88 = 171,200.16/x
  3. Step 3: Cross multiply
    280,032.08x = 386,473.88 × 171,200.16
  4. Step 4: Simplify right side
    280,032.08x = 66,164,390,091.82
  5. Step 5: Solve for x
    x = 66,164,390,091.82/280,032.08
  6. Step 6: Final answer
    x = 236,274.32

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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.