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Finding the Fourth Proportional to 265,470.21, 398,209.37 and 97,024.77

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Solution

The fourth proportional to 265,470.21, 398,209.37 and 97,024.77 is: 145,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,470.21 : 398,209.37 = 97,024.77 : x
  2. Step 2: Convert to fraction form
    265,470.21/398,209.37 = 97,024.77/x
  3. Step 3: Cross multiply
    265,470.21x = 398,209.37 × 97,024.77
  4. Step 4: Simplify right side
    265,470.21x = 38,636,172,050.97
  5. Step 5: Solve for x
    x = 38,636,172,050.97/265,470.21
  6. Step 6: Final answer
    x = 145,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.