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Finding the Fourth Proportional to 854,703.66, 1,179,411.72 and 472,722.24

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Solution

The fourth proportional to 854,703.66, 1,179,411.72 and 472,722.24 is: 652,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,703.66 : 1,179,411.72 = 472,722.24 : x
  2. Step 2: Convert to fraction form
    854,703.66/1,179,411.72 = 472,722.24/x
  3. Step 3: Cross multiply
    854,703.66x = 1,179,411.72 × 472,722.24
  4. Step 4: Simplify right side
    854,703.66x = 557,534,150,160.65
  5. Step 5: Solve for x
    x = 557,534,150,160.65/854,703.66
  6. Step 6: Final answer
    x = 652,312.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.