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Finding the Fourth Proportional to 397,577.52, 596,433.27 and 184,258.91

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Solution

The fourth proportional to 397,577.52, 596,433.27 and 184,258.91 is: 276,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,577.52 : 596,433.27 = 184,258.91 : x
  2. Step 2: Convert to fraction form
    397,577.52/596,433.27 = 184,258.91/x
  3. Step 3: Cross multiply
    397,577.52x = 596,433.27 × 184,258.91
  4. Step 4: Simplify right side
    397,577.52x = 109,898,141,235.77
  5. Step 5: Solve for x
    x = 109,898,141,235.77/397,577.52
  6. Step 6: Final answer
    x = 276,419.40

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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.