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Finding the Fourth Proportional to 413,853.68, 620,829.14 and 147,652.04

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Solution

The fourth proportional to 413,853.68, 620,829.14 and 147,652.04 is: 221,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,853.68 : 620,829.14 = 147,652.04 : x
  2. Step 2: Convert to fraction form
    413,853.68/620,829.14 = 147,652.04/x
  3. Step 3: Cross multiply
    413,853.68x = 620,829.14 × 147,652.04
  4. Step 4: Simplify right side
    413,853.68x = 91,666,689,826.26
  5. Step 5: Solve for x
    x = 91,666,689,826.26/413,853.68
  6. Step 6: Final answer
    x = 221,495.41

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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.