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Finding the Fourth Proportional to 6,502,175.58, 9,746,223.58 and 4,229,324.22

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Solution

The fourth proportional to 6,502,175.58, 9,746,223.58 and 4,229,324.22 is: 6,339,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,175.58 : 9,746,223.58 = 4,229,324.22 : x
  2. Step 2: Convert to fraction form
    6,502,175.58/9,746,223.58 = 4,229,324.22/x
  3. Step 3: Cross multiply
    6,502,175.58x = 9,746,223.58 × 4,229,324.22
  4. Step 4: Simplify right side
    6,502,175.58x = 41,219,939,440,429.10
  5. Step 5: Solve for x
    x = 41,219,939,440,429.10/6,502,175.58
  6. Step 6: Final answer
    x = 6,339,407.32

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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.