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Finding the Fourth Proportional to 320,429.80, 480,644.70 and 304,877.80

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Solution

The fourth proportional to 320,429.80, 480,644.70 and 304,877.80 is: 457,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,429.80 : 480,644.70 = 304,877.80 : x
  2. Step 2: Convert to fraction form
    320,429.80/480,644.70 = 304,877.80/x
  3. Step 3: Cross multiply
    320,429.80x = 480,644.70 × 304,877.80
  4. Step 4: Simplify right side
    320,429.80x = 146,537,898,717.66
  5. Step 5: Solve for x
    x = 146,537,898,717.66/320,429.80
  6. Step 6: Final answer
    x = 457,316.70

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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.