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Finding the Fourth Proportional to 478,127.61, 659,818.58 and 274,186.22

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Solution

The fourth proportional to 478,127.61, 659,818.58 and 274,186.22 is: 378,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,127.61 : 659,818.58 = 274,186.22 : x
  2. Step 2: Convert to fraction form
    478,127.61/659,818.58 = 274,186.22/x
  3. Step 3: Cross multiply
    478,127.61x = 659,818.58 × 274,186.22
  4. Step 4: Simplify right side
    478,127.61x = 180,913,157,665.94
  5. Step 5: Solve for x
    x = 180,913,157,665.94/478,127.61
  6. Step 6: Final answer
    x = 378,378.39

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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.