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Finding the Fourth Proportional to 393,547.71, 590,608.32 and 156,958.05

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Solution

The fourth proportional to 393,547.71, 590,608.32 and 156,958.05 is: 235,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,547.71 : 590,608.32 = 156,958.05 : x
  2. Step 2: Convert to fraction form
    393,547.71/590,608.32 = 156,958.05/x
  3. Step 3: Cross multiply
    393,547.71x = 590,608.32 × 156,958.05
  4. Step 4: Simplify right side
    393,547.71x = 92,700,730,220.98
  5. Step 5: Solve for x
    x = 92,700,730,220.98/393,547.71
  6. Step 6: Final answer
    x = 235,551.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.