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Finding the Fourth Proportional to 464,089.53, 696,201.05 and 176,007.22

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Solution

The fourth proportional to 464,089.53, 696,201.05 and 176,007.22 is: 264,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,089.53 : 696,201.05 = 176,007.22 : x
  2. Step 2: Convert to fraction form
    464,089.53/696,201.05 = 176,007.22/x
  3. Step 3: Cross multiply
    464,089.53x = 696,201.05 × 176,007.22
  4. Step 4: Simplify right side
    464,089.53x = 122,536,410,491.55
  5. Step 5: Solve for x
    x = 122,536,410,491.55/464,089.53
  6. Step 6: Final answer
    x = 264,036.15

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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.