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Finding the Fourth Proportional to 469,840.16, 648,384.16 and 254,982.08

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Solution

The fourth proportional to 469,840.16, 648,384.16 and 254,982.08 is: 351,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,840.16 : 648,384.16 = 254,982.08 : x
  2. Step 2: Convert to fraction form
    469,840.16/648,384.16 = 254,982.08/x
  3. Step 3: Cross multiply
    469,840.16x = 648,384.16 × 254,982.08
  4. Step 4: Simplify right side
    469,840.16x = 165,326,341,755.85
  5. Step 5: Solve for x
    x = 165,326,341,755.85/469,840.16
  6. Step 6: Final answer
    x = 351,877.84

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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.