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Finding the Fourth Proportional to 333,830.43, 500,175.14 and 238,573.93

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Solution

The fourth proportional to 333,830.43, 500,175.14 and 238,573.93 is: 357,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,830.43 : 500,175.14 = 238,573.93 : x
  2. Step 2: Convert to fraction form
    333,830.43/500,175.14 = 238,573.93/x
  3. Step 3: Cross multiply
    333,830.43x = 500,175.14 × 238,573.93
  4. Step 4: Simplify right side
    333,830.43x = 119,328,748,270.45
  5. Step 5: Solve for x
    x = 119,328,748,270.45/333,830.43
  6. Step 6: Final answer
    x = 357,453.18

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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.