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Finding the Fourth Proportional to 590,346.98, 814,741.60 and 361,038.42

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Solution

The fourth proportional to 590,346.98, 814,741.60 and 361,038.42 is: 498,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,346.98 : 814,741.60 = 361,038.42 : x
  2. Step 2: Convert to fraction form
    590,346.98/814,741.60 = 361,038.42/x
  3. Step 3: Cross multiply
    590,346.98x = 814,741.60 × 361,038.42
  4. Step 4: Simplify right side
    590,346.98x = 294,153,019,972.27
  5. Step 5: Solve for x
    x = 294,153,019,972.27/590,346.98
  6. Step 6: Final answer
    x = 498,271.41

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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.