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Finding the Fourth Proportional to 506,725.12, 698,976.02 and 334,644.66

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Solution

The fourth proportional to 506,725.12, 698,976.02 and 334,644.66 is: 461,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,725.12 : 698,976.02 = 334,644.66 : x
  2. Step 2: Convert to fraction form
    506,725.12/698,976.02 = 334,644.66/x
  3. Step 3: Cross multiply
    506,725.12x = 698,976.02 × 334,644.66
  4. Step 4: Simplify right side
    506,725.12x = 233,908,592,561.05
  5. Step 5: Solve for x
    x = 233,908,592,561.05/506,725.12
  6. Step 6: Final answer
    x = 461,608.44

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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.