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Finding the Fourth Proportional to 520,605.74, 780,971.81 and 146,628.74

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Solution

The fourth proportional to 520,605.74, 780,971.81 and 146,628.74 is: 219,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,605.74 : 780,971.81 = 146,628.74 : x
  2. Step 2: Convert to fraction form
    520,605.74/780,971.81 = 146,628.74/x
  3. Step 3: Cross multiply
    520,605.74x = 780,971.81 × 146,628.74
  4. Step 4: Simplify right side
    520,605.74x = 114,512,913,695.11
  5. Step 5: Solve for x
    x = 114,512,913,695.11/520,605.74
  6. Step 6: Final answer
    x = 219,960.91

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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.