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Finding the Fourth Proportional to 735,393.34, 1,014,732.24 and 413,041.68

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Solution

The fourth proportional to 735,393.34, 1,014,732.24 and 413,041.68 is: 569,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,393.34 : 1,014,732.24 = 413,041.68 : x
  2. Step 2: Convert to fraction form
    735,393.34/1,014,732.24 = 413,041.68/x
  3. Step 3: Cross multiply
    735,393.34x = 1,014,732.24 × 413,041.68
  4. Step 4: Simplify right side
    735,393.34x = 419,126,709,159.76
  5. Step 5: Solve for x
    x = 419,126,709,159.76/735,393.34
  6. Step 6: Final answer
    x = 569,935.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.