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Finding the Fourth Proportional to 358,180.16, 494,233.80 and 207,248

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Solution

The fourth proportional to 358,180.16, 494,233.80 and 207,248 is: 285,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,180.16 : 494,233.80 = 207,248 : x
  2. Step 2: Convert to fraction form
    358,180.16/494,233.80 = 207,248/x
  3. Step 3: Cross multiply
    358,180.16x = 494,233.80 × 207,248
  4. Step 4: Simplify right side
    358,180.16x = 102,428,966,582.40
  5. Step 5: Solve for x
    x = 102,428,966,582.40/358,180.16
  6. Step 6: Final answer
    x = 285,970.52

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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.