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Finding the Fourth Proportional to 297,699, 410,831.10 and 163,563

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Solution

The fourth proportional to 297,699, 410,831.10 and 163,563 is: 225,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,699 : 410,831.10 = 163,563 : x
  2. Step 2: Convert to fraction form
    297,699/410,831.10 = 163,563/x
  3. Step 3: Cross multiply
    297,699x = 410,831.10 × 163,563
  4. Step 4: Simplify right side
    297,699x = 67,196,767,209.30
  5. Step 5: Solve for x
    x = 67,196,767,209.30/297,699
  6. Step 6: Final answer
    x = 225,720.50

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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.