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Finding the Fourth Proportional to 513,091.26, 708,263.91 and 459,281.34

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Solution

The fourth proportional to 513,091.26, 708,263.91 and 459,281.34 is: 633,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,091.26 : 708,263.91 = 459,281.34 : x
  2. Step 2: Convert to fraction form
    513,091.26/708,263.91 = 459,281.34/x
  3. Step 3: Cross multiply
    513,091.26x = 708,263.91 × 459,281.34
  4. Step 4: Simplify right side
    513,091.26x = 325,292,397,658.44
  5. Step 5: Solve for x
    x = 325,292,397,658.44/513,091.26
  6. Step 6: Final answer
    x = 633,985.46

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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.