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Finding the Fourth Proportional to 567,058.34, 782,014.86 and 413,853.86

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Solution

The fourth proportional to 567,058.34, 782,014.86 and 413,853.86 is: 570,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,058.34 : 782,014.86 = 413,853.86 : x
  2. Step 2: Convert to fraction form
    567,058.34/782,014.86 = 413,853.86/x
  3. Step 3: Cross multiply
    567,058.34x = 782,014.86 × 413,853.86
  4. Step 4: Simplify right side
    567,058.34x = 323,639,870,343.40
  5. Step 5: Solve for x
    x = 323,639,870,343.40/567,058.34
  6. Step 6: Final answer
    x = 570,734.70

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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.