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Finding the Fourth Proportional to 425,740.46, 586,911.29 and 334,938.78

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Solution

The fourth proportional to 425,740.46, 586,911.29 and 334,938.78 is: 461,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,740.46 : 586,911.29 = 334,938.78 : x
  2. Step 2: Convert to fraction form
    425,740.46/586,911.29 = 334,938.78/x
  3. Step 3: Cross multiply
    425,740.46x = 586,911.29 × 334,938.78
  4. Step 4: Simplify right side
    425,740.46x = 196,579,349,766.13
  5. Step 5: Solve for x
    x = 196,579,349,766.13/425,740.46
  6. Step 6: Final answer
    x = 461,735.19

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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.