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Finding the Fourth Proportional to 513,762.15, 708,523.47 and 441,142.38

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Solution

The fourth proportional to 513,762.15, 708,523.47 and 441,142.38 is: 608,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,762.15 : 708,523.47 = 441,142.38 : x
  2. Step 2: Convert to fraction form
    513,762.15/708,523.47 = 441,142.38/x
  3. Step 3: Cross multiply
    513,762.15x = 708,523.47 × 441,142.38
  4. Step 4: Simplify right side
    513,762.15x = 312,559,729,841.66
  5. Step 5: Solve for x
    x = 312,559,729,841.66/513,762.15
  6. Step 6: Final answer
    x = 608,374.38

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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.