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Finding the Fourth Proportional to 506,093.42, 698,409.60 and 291,229.22

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Solution

The fourth proportional to 506,093.42, 698,409.60 and 291,229.22 is: 401,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,093.42 : 698,409.60 = 291,229.22 : x
  2. Step 2: Convert to fraction form
    506,093.42/698,409.60 = 291,229.22/x
  3. Step 3: Cross multiply
    506,093.42x = 698,409.60 × 291,229.22
  4. Step 4: Simplify right side
    506,093.42x = 203,397,283,048.51
  5. Step 5: Solve for x
    x = 203,397,283,048.51/506,093.42
  6. Step 6: Final answer
    x = 401,896.72

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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.