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Finding the Fourth Proportional to 413,303.85, 620,192.30 and 160,551.59

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Solution

The fourth proportional to 413,303.85, 620,192.30 and 160,551.59 is: 240,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,303.85 : 620,192.30 = 160,551.59 : x
  2. Step 2: Convert to fraction form
    413,303.85/620,192.30 = 160,551.59/x
  3. Step 3: Cross multiply
    413,303.85x = 620,192.30 × 160,551.59
  4. Step 4: Simplify right side
    413,303.85x = 99,572,855,967.04
  5. Step 5: Solve for x
    x = 99,572,855,967.04/413,303.85
  6. Step 6: Final answer
    x = 240,919.26

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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.