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Finding the Fourth Proportional to 464,744.69, 697,117.05 and 149,423.03

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Solution

The fourth proportional to 464,744.69, 697,117.05 and 149,423.03 is: 224,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,744.69 : 697,117.05 = 149,423.03 : x
  2. Step 2: Convert to fraction form
    464,744.69/697,117.05 = 149,423.03/x
  3. Step 3: Cross multiply
    464,744.69x = 697,117.05 × 149,423.03
  4. Step 4: Simplify right side
    464,744.69x = 104,165,341,004.27
  5. Step 5: Solve for x
    x = 104,165,341,004.27/464,744.69
  6. Step 6: Final answer
    x = 224,134.55

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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.