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Finding the Fourth Proportional to 277,251.60, 415,587.96 and 201,166.32

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Solution

The fourth proportional to 277,251.60, 415,587.96 and 201,166.32 is: 301,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.60 : 415,587.96 = 201,166.32 : x
  2. Step 2: Convert to fraction form
    277,251.60/415,587.96 = 201,166.32/x
  3. Step 3: Cross multiply
    277,251.60x = 415,587.96 × 201,166.32
  4. Step 4: Simplify right side
    277,251.60x = 83,602,300,549.51
  5. Step 5: Solve for x
    x = 83,602,300,549.51/277,251.60
  6. Step 6: Final answer
    x = 301,539.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.