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Finding the Fourth Proportional to 499,142.93, 688,569.28 and 295,094.48

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Solution

The fourth proportional to 499,142.93, 688,569.28 and 295,094.48 is: 407,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,142.93 : 688,569.28 = 295,094.48 : x
  2. Step 2: Convert to fraction form
    499,142.93/688,569.28 = 295,094.48/x
  3. Step 3: Cross multiply
    499,142.93x = 688,569.28 × 295,094.48
  4. Step 4: Simplify right side
    499,142.93x = 203,192,989,444.99
  5. Step 5: Solve for x
    x = 203,192,989,444.99/499,142.93
  6. Step 6: Final answer
    x = 407,083.78

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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.