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Finding the Fourth Proportional to 304,675.50, 420,447.06 and 168,706.53

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Solution

The fourth proportional to 304,675.50, 420,447.06 and 168,706.53 is: 232,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,675.50 : 420,447.06 = 168,706.53 : x
  2. Step 2: Convert to fraction form
    304,675.50/420,447.06 = 168,706.53/x
  3. Step 3: Cross multiply
    304,675.50x = 420,447.06 × 168,706.53
  4. Step 4: Simplify right side
    304,675.50x = 70,932,163,120.31
  5. Step 5: Solve for x
    x = 70,932,163,120.31/304,675.50
  6. Step 6: Final answer
    x = 232,812.16

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1.5x scale

Why These Related Problems?

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