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Finding the Fourth Proportional to 370,403.16, 555,645.74 and 145,734

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Solution

The fourth proportional to 370,403.16, 555,645.74 and 145,734 is: 218,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,403.16 : 555,645.74 = 145,734 : x
  2. Step 2: Convert to fraction form
    370,403.16/555,645.74 = 145,734/x
  3. Step 3: Cross multiply
    370,403.16x = 555,645.74 × 145,734
  4. Step 4: Simplify right side
    370,403.16x = 80,976,476,273.16
  5. Step 5: Solve for x
    x = 80,976,476,273.16/370,403.16
  6. Step 6: Final answer
    x = 218,617.13

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