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Finding the Fourth Proportional to 386,802.82, 533,779.49 and 214,710.83

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Solution

The fourth proportional to 386,802.82, 533,779.49 and 214,710.83 is: 296,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,802.82 : 533,779.49 = 214,710.83 : x
  2. Step 2: Convert to fraction form
    386,802.82/533,779.49 = 214,710.83/x
  3. Step 3: Cross multiply
    386,802.82x = 533,779.49 × 214,710.83
  4. Step 4: Simplify right side
    386,802.82x = 114,608,233,592.43
  5. Step 5: Solve for x
    x = 114,608,233,592.43/386,802.82
  6. Step 6: Final answer
    x = 296,296.28

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1.5x scale

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.