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Finding the Fourth Proportional to 474,278.16, 711,364.83 and 119,292.32

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Solution

The fourth proportional to 474,278.16, 711,364.83 and 119,292.32 is: 178,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,278.16 : 711,364.83 = 119,292.32 : x
  2. Step 2: Convert to fraction form
    474,278.16/711,364.83 = 119,292.32/x
  3. Step 3: Cross multiply
    474,278.16x = 711,364.83 × 119,292.32
  4. Step 4: Simplify right side
    474,278.16x = 84,860,357,380.28
  5. Step 5: Solve for x
    x = 84,860,357,380.28/474,278.16
  6. Step 6: Final answer
    x = 178,925.29

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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.