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Finding the Fourth Proportional to 310,114.62, 464,876.69 and 99,604.98

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Solution

The fourth proportional to 310,114.62, 464,876.69 and 99,604.98 is: 149,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,114.62 : 464,876.69 = 99,604.98 : x
  2. Step 2: Convert to fraction form
    310,114.62/464,876.69 = 99,604.98/x
  3. Step 3: Cross multiply
    310,114.62x = 464,876.69 × 99,604.98
  4. Step 4: Simplify right side
    310,114.62x = 46,304,032,911.89
  5. Step 5: Solve for x
    x = 46,304,032,911.89/310,114.62
  6. Step 6: Final answer
    x = 149,312.64

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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.