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Finding the Fourth Proportional to 295,470.28, 407,701.50 and 168,148

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Solution

The fourth proportional to 295,470.28, 407,701.50 and 168,148 is: 232,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,470.28 : 407,701.50 = 168,148 : x
  2. Step 2: Convert to fraction form
    295,470.28/407,701.50 = 168,148/x
  3. Step 3: Cross multiply
    295,470.28x = 407,701.50 × 168,148
  4. Step 4: Simplify right side
    295,470.28x = 68,554,191,822
  5. Step 5: Solve for x
    x = 68,554,191,822/295,470.28
  6. Step 6: Final answer
    x = 232,017.22

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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.