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Finding the Fourth Proportional to 333,596.35, 500,657.51 and 123,294.43

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Solution

The fourth proportional to 333,596.35, 500,657.51 and 123,294.43 is: 185,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,596.35 : 500,657.51 = 123,294.43 : x
  2. Step 2: Convert to fraction form
    333,596.35/500,657.51 = 123,294.43/x
  3. Step 3: Cross multiply
    333,596.35x = 500,657.51 × 123,294.43
  4. Step 4: Simplify right side
    333,596.35x = 61,728,282,320.67
  5. Step 5: Solve for x
    x = 61,728,282,320.67/333,596.35
  6. Step 6: Final answer
    x = 185,038.84

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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.