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Finding the Fourth Proportional to 464,693.10, 697,068.81 and 149,143.02

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Solution

The fourth proportional to 464,693.10, 697,068.81 and 149,143.02 is: 223,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,693.10 : 697,068.81 = 149,143.02 : x
  2. Step 2: Convert to fraction form
    464,693.10/697,068.81 = 149,143.02/x
  3. Step 3: Cross multiply
    464,693.10x = 697,068.81 × 149,143.02
  4. Step 4: Simplify right side
    464,693.10x = 103,962,947,471.21
  5. Step 5: Solve for x
    x = 103,962,947,471.21/464,693.10
  6. Step 6: Final answer
    x = 223,723.89

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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.