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Finding the Fourth Proportional to 522,336, 783,573.70 and 206,719.10

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Solution

The fourth proportional to 522,336, 783,573.70 and 206,719.10 is: 310,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,336 : 783,573.70 = 206,719.10 : x
  2. Step 2: Convert to fraction form
    522,336/783,573.70 = 206,719.10/x
  3. Step 3: Cross multiply
    522,336x = 783,573.70 × 206,719.10
  4. Step 4: Simplify right side
    522,336x = 161,979,650,047.67
  5. Step 5: Solve for x
    x = 161,979,650,047.67/522,336
  6. Step 6: Final answer
    x = 310,106.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.