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Finding the Fourth Proportional to 649,539.36, 896,364 and 381,267.36

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Solution

The fourth proportional to 649,539.36, 896,364 and 381,267.36 is: 526,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539.36 : 896,364 = 381,267.36 : x
  2. Step 2: Convert to fraction form
    649,539.36/896,364 = 381,267.36/x
  3. Step 3: Cross multiply
    649,539.36x = 896,364 × 381,267.36
  4. Step 4: Simplify right side
    649,539.36x = 341,754,335,879.04
  5. Step 5: Solve for x
    x = 341,754,335,879.04/649,539.36
  6. Step 6: Final answer
    x = 526,148.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.