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Finding the Fourth Proportional to 484,806.94, 727,210.44 and 152,382.94

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Solution

The fourth proportional to 484,806.94, 727,210.44 and 152,382.94 is: 228,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,806.94 : 727,210.44 = 152,382.94 : x
  2. Step 2: Convert to fraction form
    484,806.94/727,210.44 = 152,382.94/x
  3. Step 3: Cross multiply
    484,806.94x = 727,210.44 × 152,382.94
  4. Step 4: Simplify right side
    484,806.94x = 110,814,463,027.87
  5. Step 5: Solve for x
    x = 110,814,463,027.87/484,806.94
  6. Step 6: Final answer
    x = 228,574.42

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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.