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Finding the Fourth Proportional to 370,146.32, 510,792.48 and 206,804.06

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Solution

The fourth proportional to 370,146.32, 510,792.48 and 206,804.06 is: 285,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,146.32 : 510,792.48 = 206,804.06 : x
  2. Step 2: Convert to fraction form
    370,146.32/510,792.48 = 206,804.06/x
  3. Step 3: Cross multiply
    370,146.32x = 510,792.48 × 206,804.06
  4. Step 4: Simplify right side
    370,146.32x = 105,633,958,681.47
  5. Step 5: Solve for x
    x = 105,633,958,681.47/370,146.32
  6. Step 6: Final answer
    x = 285,384.33

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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.