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Finding the Fourth Proportional to 376,102.82, 564,127.76 and 176,466.98

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Solution

The fourth proportional to 376,102.82, 564,127.76 and 176,466.98 is: 264,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,102.82 : 564,127.76 = 176,466.98 : x
  2. Step 2: Convert to fraction form
    376,102.82/564,127.76 = 176,466.98/x
  3. Step 3: Cross multiply
    376,102.82x = 564,127.76 × 176,466.98
  4. Step 4: Simplify right side
    376,102.82x = 99,549,922,141.36
  5. Step 5: Solve for x
    x = 99,549,922,141.36/376,102.82
  6. Step 6: Final answer
    x = 264,688.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.