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Finding the Fourth Proportional to 338,151.78, 507,305.43 and 101,498.94

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Solution

The fourth proportional to 338,151.78, 507,305.43 and 101,498.94 is: 152,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,151.78 : 507,305.43 = 101,498.94 : x
  2. Step 2: Convert to fraction form
    338,151.78/507,305.43 = 101,498.94/x
  3. Step 3: Cross multiply
    338,151.78x = 507,305.43 × 101,498.94
  4. Step 4: Simplify right side
    338,151.78x = 51,490,963,401.24
  5. Step 5: Solve for x
    x = 51,490,963,401.24/338,151.78
  6. Step 6: Final answer
    x = 152,271.75

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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.