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Finding the Fourth Proportional to 472,464.10, 708,767.55 and 152,509.06

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Solution

The fourth proportional to 472,464.10, 708,767.55 and 152,509.06 is: 228,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,464.10 : 708,767.55 = 152,509.06 : x
  2. Step 2: Convert to fraction form
    472,464.10/708,767.55 = 152,509.06/x
  3. Step 3: Cross multiply
    472,464.10x = 708,767.55 × 152,509.06
  4. Step 4: Simplify right side
    472,464.10x = 108,093,472,809.00
  5. Step 5: Solve for x
    x = 108,093,472,809.00/472,464.10
  6. Step 6: Final answer
    x = 228,786.64

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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.