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Finding the Fourth Proportional to 312,513.42, 431,237.70 and 174,666.90

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Solution

The fourth proportional to 312,513.42, 431,237.70 and 174,666.90 is: 241,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.42 : 431,237.70 = 174,666.90 : x
  2. Step 2: Convert to fraction form
    312,513.42/431,237.70 = 174,666.90/x
  3. Step 3: Cross multiply
    312,513.42x = 431,237.70 × 174,666.90
  4. Step 4: Simplify right side
    312,513.42x = 75,322,952,222.13
  5. Step 5: Solve for x
    x = 75,322,952,222.13/312,513.42
  6. Step 6: Final answer
    x = 241,023.10

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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.