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Finding the Fourth Proportional to 893,640.78, 1,341,416.16 and 361,509.66

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Solution

The fourth proportional to 893,640.78, 1,341,416.16 and 361,509.66 is: 542,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,640.78 : 1,341,416.16 = 361,509.66 : x
  2. Step 2: Convert to fraction form
    893,640.78/1,341,416.16 = 361,509.66/x
  3. Step 3: Cross multiply
    893,640.78x = 1,341,416.16 × 361,509.66
  4. Step 4: Simplify right side
    893,640.78x = 484,934,899,920.11
  5. Step 5: Solve for x
    x = 484,934,899,920.11/893,640.78
  6. Step 6: Final answer
    x = 542,650.82

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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.