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Finding the Fourth Proportional to 333,210.42, 499,362.64 and 140,924.98

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Solution

The fourth proportional to 333,210.42, 499,362.64 and 140,924.98 is: 211,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,210.42 : 499,362.64 = 140,924.98 : x
  2. Step 2: Convert to fraction form
    333,210.42/499,362.64 = 140,924.98/x
  3. Step 3: Cross multiply
    333,210.42x = 499,362.64 × 140,924.98
  4. Step 4: Simplify right side
    333,210.42x = 70,372,670,326.64
  5. Step 5: Solve for x
    x = 70,372,670,326.64/333,210.42
  6. Step 6: Final answer
    x = 211,195.89

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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.