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Finding the Fourth Proportional to 333,973.62, 500,911.83 and 97,252.74

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Solution

The fourth proportional to 333,973.62, 500,911.83 and 97,252.74 is: 145,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,973.62 : 500,911.83 = 97,252.74 : x
  2. Step 2: Convert to fraction form
    333,973.62/500,911.83 = 97,252.74/x
  3. Step 3: Cross multiply
    333,973.62x = 500,911.83 × 97,252.74
  4. Step 4: Simplify right side
    333,973.62x = 48,715,047,965.91
  5. Step 5: Solve for x
    x = 48,715,047,965.91/333,973.62
  6. Step 6: Final answer
    x = 145,864.96

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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.