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Finding the Fourth Proportional to 413,332.82, 620,038.45 and 160,632.83

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Solution

The fourth proportional to 413,332.82, 620,038.45 and 160,632.83 is: 240,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,332.82 : 620,038.45 = 160,632.83 : x
  2. Step 2: Convert to fraction form
    413,332.82/620,038.45 = 160,632.83/x
  3. Step 3: Cross multiply
    413,332.82x = 620,038.45 × 160,632.83
  4. Step 4: Simplify right side
    413,332.82x = 99,598,532,651.57
  5. Step 5: Solve for x
    x = 99,598,532,651.57/413,332.82
  6. Step 6: Final answer
    x = 240,964.49

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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.