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Finding the Fourth Proportional to 520,048.90, 780,332.55 and 295,581.70

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Solution

The fourth proportional to 520,048.90, 780,332.55 and 295,581.70 is: 443,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,048.90 : 780,332.55 = 295,581.70 : x
  2. Step 2: Convert to fraction form
    520,048.90/780,332.55 = 295,581.70/x
  3. Step 3: Cross multiply
    520,048.90x = 780,332.55 × 295,581.70
  4. Step 4: Simplify right side
    520,048.90x = 230,652,021,694.34
  5. Step 5: Solve for x
    x = 230,652,021,694.34/520,048.90
  6. Step 6: Final answer
    x = 443,519.87

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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.