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Finding the Fourth Proportional to 277,005.60, 415,464.96 and 77,304.96

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Solution

The fourth proportional to 277,005.60, 415,464.96 and 77,304.96 is: 115,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,005.60 : 415,464.96 = 77,304.96 : x
  2. Step 2: Convert to fraction form
    277,005.60/415,464.96 = 77,304.96/x
  3. Step 3: Cross multiply
    277,005.60x = 415,464.96 × 77,304.96
  4. Step 4: Simplify right side
    277,005.60x = 32,117,502,114.20
  5. Step 5: Solve for x
    x = 32,117,502,114.20/277,005.60
  6. Step 6: Final answer
    x = 115,945.32

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1.5x scale

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.