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Finding the Fourth Proportional to 413,666.32, 620,530.92 and 160,838.19

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Solution

The fourth proportional to 413,666.32, 620,530.92 and 160,838.19 is: 241,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,666.32 : 620,530.92 = 160,838.19 : x
  2. Step 2: Convert to fraction form
    413,666.32/620,530.92 = 160,838.19/x
  3. Step 3: Cross multiply
    413,666.32x = 620,530.92 × 160,838.19
  4. Step 4: Simplify right side
    413,666.32x = 99,805,070,011.83
  5. Step 5: Solve for x
    x = 99,805,070,011.83/413,666.32
  6. Step 6: Final answer
    x = 241,269.51

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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.