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Finding the Fourth Proportional to 469,929.09, 648,502.74 and 255,069.10

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Solution

The fourth proportional to 469,929.09, 648,502.74 and 255,069.10 is: 351,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,929.09 : 648,502.74 = 255,069.10 : x
  2. Step 2: Convert to fraction form
    469,929.09/648,502.74 = 255,069.10/x
  3. Step 3: Cross multiply
    469,929.09x = 648,502.74 × 255,069.10
  4. Step 4: Simplify right side
    469,929.09x = 165,413,010,239.33
  5. Step 5: Solve for x
    x = 165,413,010,239.33/469,929.09
  6. Step 6: Final answer
    x = 351,995.68

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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.