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Finding the Fourth Proportional to 412,842, 619,367.04 and 117,354

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Solution

The fourth proportional to 412,842, 619,367.04 and 117,354 is: 176,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,842 : 619,367.04 = 117,354 : x
  2. Step 2: Convert to fraction form
    412,842/619,367.04 = 117,354/x
  3. Step 3: Cross multiply
    412,842x = 619,367.04 × 117,354
  4. Step 4: Simplify right side
    412,842x = 72,685,199,612.16
  5. Step 5: Solve for x
    x = 72,685,199,612.16/412,842
  6. Step 6: Final answer
    x = 176,060.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.