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Finding the Fourth Proportional to 469,588, 648,029.32 and 254,728.16

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Solution

The fourth proportional to 469,588, 648,029.32 and 254,728.16 is: 351,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,588 : 648,029.32 = 254,728.16 : x
  2. Step 2: Convert to fraction form
    469,588/648,029.32 = 254,728.16/x
  3. Step 3: Cross multiply
    469,588x = 648,029.32 × 254,728.16
  4. Step 4: Simplify right side
    469,588x = 165,071,316,309.65
  5. Step 5: Solve for x
    x = 165,071,316,309.65/469,588
  6. Step 6: Final answer
    x = 351,523.71

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