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Finding the Fourth Proportional to 413,226, 619,943.04 and 117,738

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Solution

The fourth proportional to 413,226, 619,943.04 and 117,738 is: 176,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,226 : 619,943.04 = 117,738 : x
  2. Step 2: Convert to fraction form
    413,226/619,943.04 = 117,738/x
  3. Step 3: Cross multiply
    413,226x = 619,943.04 × 117,738
  4. Step 4: Simplify right side
    413,226x = 72,990,853,643.52
  5. Step 5: Solve for x
    x = 72,990,853,643.52/413,226
  6. Step 6: Final answer
    x = 176,636.64

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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.