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Finding the Fourth Proportional to 277,630.20, 415,862.10 and 152,825.40

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Solution

The fourth proportional to 277,630.20, 415,862.10 and 152,825.40 is: 228,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,630.20 : 415,862.10 = 152,825.40 : x
  2. Step 2: Convert to fraction form
    277,630.20/415,862.10 = 152,825.40/x
  3. Step 3: Cross multiply
    277,630.20x = 415,862.10 × 152,825.40
  4. Step 4: Simplify right side
    277,630.20x = 63,554,291,777.34
  5. Step 5: Solve for x
    x = 63,554,291,777.34/277,630.20
  6. Step 6: Final answer
    x = 228,917.07

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