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Finding the Fourth Proportional to 331,328.80, 497,252.40 and 153,857.80

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Solution

The fourth proportional to 331,328.80, 497,252.40 and 153,857.80 is: 230,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,328.80 : 497,252.40 = 153,857.80 : x
  2. Step 2: Convert to fraction form
    331,328.80/497,252.40 = 153,857.80/x
  3. Step 3: Cross multiply
    331,328.80x = 497,252.40 × 153,857.80
  4. Step 4: Simplify right side
    331,328.80x = 76,506,160,308.72
  5. Step 5: Solve for x
    x = 76,506,160,308.72/331,328.80
  6. Step 6: Final answer
    x = 230,907.06

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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.