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Finding the Fourth Proportional to 464,429.50, 696,614.78 and 164,870.64

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Solution

The fourth proportional to 464,429.50, 696,614.78 and 164,870.64 is: 247,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,429.50 : 696,614.78 = 164,870.64 : x
  2. Step 2: Convert to fraction form
    464,429.50/696,614.78 = 164,870.64/x
  3. Step 3: Cross multiply
    464,429.50x = 696,614.78 × 164,870.64
  4. Step 4: Simplify right side
    464,429.50x = 114,851,325,024.24
  5. Step 5: Solve for x
    x = 114,851,325,024.24/464,429.50
  6. Step 6: Final answer
    x = 247,295.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.