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Finding the Fourth Proportional to 559,193.22, 771,708.54 and 317,498.34

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Solution

The fourth proportional to 559,193.22, 771,708.54 and 317,498.34 is: 438,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,193.22 : 771,708.54 = 317,498.34 : x
  2. Step 2: Convert to fraction form
    559,193.22/771,708.54 = 317,498.34/x
  3. Step 3: Cross multiply
    559,193.22x = 771,708.54 × 317,498.34
  4. Step 4: Simplify right side
    559,193.22x = 245,016,180,413.82
  5. Step 5: Solve for x
    x = 245,016,180,413.82/559,193.22
  6. Step 6: Final answer
    x = 438,160.14

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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.