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Finding the Fourth Proportional to 540,434.08, 810,456.72 and 185,356

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Solution

The fourth proportional to 540,434.08, 810,456.72 and 185,356 is: 277,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,434.08 : 810,456.72 = 185,356 : x
  2. Step 2: Convert to fraction form
    540,434.08/810,456.72 = 185,356/x
  3. Step 3: Cross multiply
    540,434.08x = 810,456.72 × 185,356
  4. Step 4: Simplify right side
    540,434.08x = 150,223,015,792.32
  5. Step 5: Solve for x
    x = 150,223,015,792.32/540,434.08
  6. Step 6: Final answer
    x = 277,967.33

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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.