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Finding the Fourth Proportional to 506,670, 698,900.02 and 334,589.56

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Solution

The fourth proportional to 506,670, 698,900.02 and 334,589.56 is: 461,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,670 : 698,900.02 = 334,589.56 : x
  2. Step 2: Convert to fraction form
    506,670/698,900.02 = 334,589.56/x
  3. Step 3: Cross multiply
    506,670x = 698,900.02 × 334,589.56
  4. Step 4: Simplify right side
    506,670x = 233,844,650,175.79
  5. Step 5: Solve for x
    x = 233,844,650,175.79/506,670
  6. Step 6: Final answer
    x = 461,532.46

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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.