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Finding the Fourth Proportional to 309,963.09, 464,501.05 and 176,567.72

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Solution

The fourth proportional to 309,963.09, 464,501.05 and 176,567.72 is: 264,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,963.09 : 464,501.05 = 176,567.72 : x
  2. Step 2: Convert to fraction form
    309,963.09/464,501.05 = 176,567.72/x
  3. Step 3: Cross multiply
    309,963.09x = 464,501.05 × 176,567.72
  4. Step 4: Simplify right side
    309,963.09x = 82,015,888,572.18
  5. Step 5: Solve for x
    x = 82,015,888,572.18/309,963.09
  6. Step 6: Final answer
    x = 264,598.89

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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.