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Finding the Fourth Proportional to 506,882.37, 698,350.53 and 416,094.60

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Solution

The fourth proportional to 506,882.37, 698,350.53 and 416,094.60 is: 573,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,882.37 : 698,350.53 = 416,094.60 : x
  2. Step 2: Convert to fraction form
    506,882.37/698,350.53 = 416,094.60/x
  3. Step 3: Cross multiply
    506,882.37x = 698,350.53 × 416,094.60
  4. Step 4: Simplify right side
    506,882.37x = 290,579,882,359.67
  5. Step 5: Solve for x
    x = 290,579,882,359.67/506,882.37
  6. Step 6: Final answer
    x = 573,268.87

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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.