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Finding the Fourth Proportional to 262,401.60, 393,602.40 and 157,166.40

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Solution

The fourth proportional to 262,401.60, 393,602.40 and 157,166.40 is: 235,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,401.60 : 393,602.40 = 157,166.40 : x
  2. Step 2: Convert to fraction form
    262,401.60/393,602.40 = 157,166.40/x
  3. Step 3: Cross multiply
    262,401.60x = 393,602.40 × 157,166.40
  4. Step 4: Simplify right side
    262,401.60x = 61,861,072,239.36
  5. Step 5: Solve for x
    x = 61,861,072,239.36/262,401.60
  6. Step 6: Final answer
    x = 235,749.60

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1.5x scale

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.