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Finding the Fourth Proportional to 308,830.40, 463,325.47 and 180,854.78

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Solution

The fourth proportional to 308,830.40, 463,325.47 and 180,854.78 is: 271,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,830.40 : 463,325.47 = 180,854.78 : x
  2. Step 2: Convert to fraction form
    308,830.40/463,325.47 = 180,854.78/x
  3. Step 3: Cross multiply
    308,830.40x = 463,325.47 × 180,854.78
  4. Step 4: Simplify right side
    308,830.40x = 83,794,623,176.48
  5. Step 5: Solve for x
    x = 83,794,623,176.48/308,830.40
  6. Step 6: Final answer
    x = 271,328.93

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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.