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Finding the Fourth Proportional to 314,219.46, 433,547.27 and 185,163.22

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Solution

The fourth proportional to 314,219.46, 433,547.27 and 185,163.22 is: 255,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219.46 : 433,547.27 = 185,163.22 : x
  2. Step 2: Convert to fraction form
    314,219.46/433,547.27 = 185,163.22/x
  3. Step 3: Cross multiply
    314,219.46x = 433,547.27 × 185,163.22
  4. Step 4: Simplify right side
    314,219.46x = 80,277,005,441.86
  5. Step 5: Solve for x
    x = 80,277,005,441.86/314,219.46
  6. Step 6: Final answer
    x = 255,480.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.