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Finding the Fourth Proportional to 465,633.12, 697,603.92 and 359,188.32

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Solution

The fourth proportional to 465,633.12, 697,603.92 and 359,188.32 is: 538,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,633.12 : 697,603.92 = 359,188.32 : x
  2. Step 2: Convert to fraction form
    465,633.12/697,603.92 = 359,188.32/x
  3. Step 3: Cross multiply
    465,633.12x = 697,603.92 × 359,188.32
  4. Step 4: Simplify right side
    465,633.12x = 250,571,180,050.21
  5. Step 5: Solve for x
    x = 250,571,180,050.21/465,633.12
  6. Step 6: Final answer
    x = 538,130.06

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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.