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Finding the Fourth Proportional to 506,091.42, 698,406.84 and 291,227.22

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Solution

The fourth proportional to 506,091.42, 698,406.84 and 291,227.22 is: 401,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,091.42 : 698,406.84 = 291,227.22 : x
  2. Step 2: Convert to fraction form
    506,091.42/698,406.84 = 291,227.22/x
  3. Step 3: Cross multiply
    506,091.42x = 698,406.84 × 291,227.22
  4. Step 4: Simplify right side
    506,091.42x = 203,395,082,442.19
  5. Step 5: Solve for x
    x = 203,395,082,442.19/506,091.42
  6. Step 6: Final answer
    x = 401,893.96

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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.