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Finding the Fourth Proportional to 469,802.88, 648,316.80 and 254,933.76

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Solution

The fourth proportional to 469,802.88, 648,316.80 and 254,933.76 is: 351,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,802.88 : 648,316.80 = 254,933.76 : x
  2. Step 2: Convert to fraction form
    469,802.88/648,316.80 = 254,933.76/x
  3. Step 3: Cross multiply
    469,802.88x = 648,316.80 × 254,933.76
  4. Step 4: Simplify right side
    469,802.88x = 165,277,839,495.17
  5. Step 5: Solve for x
    x = 165,277,839,495.17/469,802.88
  6. Step 6: Final answer
    x = 351,802.53

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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.