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Finding the Fourth Proportional to 227,684.19, 314,457.93 and 177,303

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Solution

The fourth proportional to 227,684.19, 314,457.93 and 177,303 is: 244,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,684.19 : 314,457.93 = 177,303 : x
  2. Step 2: Convert to fraction form
    227,684.19/314,457.93 = 177,303/x
  3. Step 3: Cross multiply
    227,684.19x = 314,457.93 × 177,303
  4. Step 4: Simplify right side
    227,684.19x = 55,754,334,362.79
  5. Step 5: Solve for x
    x = 55,754,334,362.79/227,684.19
  6. Step 6: Final answer
    x = 244,875.74

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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.