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Finding the Fourth Proportional to 472,490.16, 708,872.13 and 152,690.82

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Solution

The fourth proportional to 472,490.16, 708,872.13 and 152,690.82 is: 229,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,490.16 : 708,872.13 = 152,690.82 : x
  2. Step 2: Convert to fraction form
    472,490.16/708,872.13 = 152,690.82/x
  3. Step 3: Cross multiply
    472,490.16x = 708,872.13 × 152,690.82
  4. Step 4: Simplify right side
    472,490.16x = 108,238,266,804.85
  5. Step 5: Solve for x
    x = 108,238,266,804.85/472,490.16
  6. Step 6: Final answer
    x = 229,080.47

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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.