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Finding the Fourth Proportional to 506,064.42, 698,092.43 and 324,574.38

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Solution

The fourth proportional to 506,064.42, 698,092.43 and 324,574.38 is: 447,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,064.42 : 698,092.43 = 324,574.38 : x
  2. Step 2: Convert to fraction form
    506,064.42/698,092.43 = 324,574.38/x
  3. Step 3: Cross multiply
    506,064.42x = 698,092.43 × 324,574.38
  4. Step 4: Simplify right side
    506,064.42x = 226,582,916,027.07
  5. Step 5: Solve for x
    x = 226,582,916,027.07/506,064.42
  6. Step 6: Final answer
    x = 447,735.32

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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.