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Finding the Fourth Proportional to 333,800.32, 500,744.08 and 176,034.64

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Solution

The fourth proportional to 333,800.32, 500,744.08 and 176,034.64 is: 264,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,800.32 : 500,744.08 = 176,034.64 : x
  2. Step 2: Convert to fraction form
    333,800.32/500,744.08 = 176,034.64/x
  3. Step 3: Cross multiply
    333,800.32x = 500,744.08 × 176,034.64
  4. Step 4: Simplify right side
    333,800.32x = 88,148,303,854.93
  5. Step 5: Solve for x
    x = 88,148,303,854.93/333,800.32
  6. Step 6: Final answer
    x = 264,074.95

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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.