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Finding the Fourth Proportional to 317,041.56, 475,312.21 and 157,172.54

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Solution

The fourth proportional to 317,041.56, 475,312.21 and 157,172.54 is: 235,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,041.56 : 475,312.21 = 157,172.54 : x
  2. Step 2: Convert to fraction form
    317,041.56/475,312.21 = 157,172.54/x
  3. Step 3: Cross multiply
    317,041.56x = 475,312.21 × 157,172.54
  4. Step 4: Simplify right side
    317,041.56x = 74,706,024,569.22
  5. Step 5: Solve for x
    x = 74,706,024,569.22/317,041.56
  6. Step 6: Final answer
    x = 235,634.80

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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.