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Finding the Fourth Proportional to 375,653.16, 518,377.86 and 205,875.24

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Solution

The fourth proportional to 375,653.16, 518,377.86 and 205,875.24 is: 284,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,653.16 : 518,377.86 = 205,875.24 : x
  2. Step 2: Convert to fraction form
    375,653.16/518,377.86 = 205,875.24/x
  3. Step 3: Cross multiply
    375,653.16x = 518,377.86 × 205,875.24
  4. Step 4: Simplify right side
    375,653.16x = 106,721,166,338.19
  5. Step 5: Solve for x
    x = 106,721,166,338.19/375,653.16
  6. Step 6: Final answer
    x = 284,094.95

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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.