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Finding the Fourth Proportional to 677,102, 934,400.90 and 375,296

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Solution

The fourth proportional to 677,102, 934,400.90 and 375,296 is: 517,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,102 : 934,400.90 = 375,296 : x
  2. Step 2: Convert to fraction form
    677,102/934,400.90 = 375,296/x
  3. Step 3: Cross multiply
    677,102x = 934,400.90 × 375,296
  4. Step 4: Simplify right side
    677,102x = 350,676,920,166.40
  5. Step 5: Solve for x
    x = 350,676,920,166.40/677,102
  6. Step 6: Final answer
    x = 517,908.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.