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Finding the Fourth Proportional to 386,160.16, 532,915.50 and 216,388

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Solution

The fourth proportional to 386,160.16, 532,915.50 and 216,388 is: 298,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,160.16 : 532,915.50 = 216,388 : x
  2. Step 2: Convert to fraction form
    386,160.16/532,915.50 = 216,388/x
  3. Step 3: Cross multiply
    386,160.16x = 532,915.50 × 216,388
  4. Step 4: Simplify right side
    386,160.16x = 115,316,519,214
  5. Step 5: Solve for x
    x = 115,316,519,214/386,160.16
  6. Step 6: Final answer
    x = 298,623.55

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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.