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Finding the Fourth Proportional to 294,831.72, 406,752.30 and 181,457.64

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Solution

The fourth proportional to 294,831.72, 406,752.30 and 181,457.64 is: 250,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,831.72 : 406,752.30 = 181,457.64 : x
  2. Step 2: Convert to fraction form
    294,831.72/406,752.30 = 181,457.64/x
  3. Step 3: Cross multiply
    294,831.72x = 406,752.30 × 181,457.64
  4. Step 4: Simplify right side
    294,831.72x = 73,808,312,422.57
  5. Step 5: Solve for x
    x = 73,808,312,422.57/294,831.72
  6. Step 6: Final answer
    x = 250,340.47

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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.