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Finding the Fourth Proportional to 425,365.06, 586,609.38 and 310,461.82

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Solution

The fourth proportional to 425,365.06, 586,609.38 and 310,461.82 is: 428,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,365.06 : 586,609.38 = 310,461.82 : x
  2. Step 2: Convert to fraction form
    425,365.06/586,609.38 = 310,461.82/x
  3. Step 3: Cross multiply
    425,365.06x = 586,609.38 × 310,461.82
  4. Step 4: Simplify right side
    425,365.06x = 182,119,815,743.87
  5. Step 5: Solve for x
    x = 182,119,815,743.87/425,365.06
  6. Step 6: Final answer
    x = 428,149.45

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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.