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Finding the Fourth Proportional to 524,083.32, 723,162.06 and 294,608.16

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Solution

The fourth proportional to 524,083.32, 723,162.06 and 294,608.16 is: 406,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,083.32 : 723,162.06 = 294,608.16 : x
  2. Step 2: Convert to fraction form
    524,083.32/723,162.06 = 294,608.16/x
  3. Step 3: Cross multiply
    524,083.32x = 723,162.06 × 294,608.16
  4. Step 4: Simplify right side
    524,083.32x = 213,049,443,878.41
  5. Step 5: Solve for x
    x = 213,049,443,878.41/524,083.32
  6. Step 6: Final answer
    x = 406,518.27

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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.