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Finding the Fourth Proportional to 369,785.79, 510,303.38 and 200,019.51

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Solution

The fourth proportional to 369,785.79, 510,303.38 and 200,019.51 is: 276,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,785.79 : 510,303.38 = 200,019.51 : x
  2. Step 2: Convert to fraction form
    369,785.79/510,303.38 = 200,019.51/x
  3. Step 3: Cross multiply
    369,785.79x = 510,303.38 × 200,019.51
  4. Step 4: Simplify right side
    369,785.79x = 102,070,631,018.85
  5. Step 5: Solve for x
    x = 102,070,631,018.85/369,785.79
  6. Step 6: Final answer
    x = 276,026.37

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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.