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Finding the Fourth Proportional to 342,236.31, 513,402.71 and 105,598.23

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Solution

The fourth proportional to 342,236.31, 513,402.71 and 105,598.23 is: 158,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,236.31 : 513,402.71 = 105,598.23 : x
  2. Step 2: Convert to fraction form
    342,236.31/513,402.71 = 105,598.23/x
  3. Step 3: Cross multiply
    342,236.31x = 513,402.71 × 105,598.23
  4. Step 4: Simplify right side
    342,236.31x = 54,214,417,453.20
  5. Step 5: Solve for x
    x = 54,214,417,453.20/342,236.31
  6. Step 6: Final answer
    x = 158,412.23

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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.