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Finding the Fourth Proportional to 313,359.90, 470,117.61 and 146,953.50

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Solution

The fourth proportional to 313,359.90, 470,117.61 and 146,953.50 is: 220,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,359.90 : 470,117.61 = 146,953.50 : x
  2. Step 2: Convert to fraction form
    313,359.90/470,117.61 = 146,953.50/x
  3. Step 3: Cross multiply
    313,359.90x = 470,117.61 × 146,953.50
  4. Step 4: Simplify right side
    313,359.90x = 69,085,428,201.14
  5. Step 5: Solve for x
    x = 69,085,428,201.14/313,359.90
  6. Step 6: Final answer
    x = 220,466.72

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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.