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Finding the Fourth Proportional to 472,295.06, 708,023.14 and 184,039.96

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Solution

The fourth proportional to 472,295.06, 708,023.14 and 184,039.96 is: 275,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295.06 : 708,023.14 = 184,039.96 : x
  2. Step 2: Convert to fraction form
    472,295.06/708,023.14 = 184,039.96/x
  3. Step 3: Cross multiply
    472,295.06x = 708,023.14 × 184,039.96
  4. Step 4: Simplify right side
    472,295.06x = 130,304,549,036.35
  5. Step 5: Solve for x
    x = 130,304,549,036.35/472,295.06
  6. Step 6: Final answer
    x = 275,896.49

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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.