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Finding the Fourth Proportional to 472,382.37, 708,551.96 and 152,549.01

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Solution

The fourth proportional to 472,382.37, 708,551.96 and 152,549.01 is: 228,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,382.37 : 708,551.96 = 152,549.01 : x
  2. Step 2: Convert to fraction form
    472,382.37/708,551.96 = 152,549.01/x
  3. Step 3: Cross multiply
    472,382.37x = 708,551.96 × 152,549.01
  4. Step 4: Simplify right side
    472,382.37x = 108,088,899,268.82
  5. Step 5: Solve for x
    x = 108,088,899,268.82/472,382.37
  6. Step 6: Final answer
    x = 228,816.54

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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.