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Finding the Fourth Proportional to 413,366.51, 619,808.43 and 160,351.35

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Solution

The fourth proportional to 413,366.51, 619,808.43 and 160,351.35 is: 240,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.51 : 619,808.43 = 160,351.35 : x
  2. Step 2: Convert to fraction form
    413,366.51/619,808.43 = 160,351.35/x
  3. Step 3: Cross multiply
    413,366.51x = 619,808.43 × 160,351.35
  4. Step 4: Simplify right side
    413,366.51x = 99,387,118,491.88
  5. Step 5: Solve for x
    x = 99,387,118,491.88/413,366.51
  6. Step 6: Final answer
    x = 240,433.41

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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.