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Finding the Fourth Proportional to 364,051.70, 546,077.55 and 206,587.70

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Solution

The fourth proportional to 364,051.70, 546,077.55 and 206,587.70 is: 309,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,051.70 : 546,077.55 = 206,587.70 : x
  2. Step 2: Convert to fraction form
    364,051.70/546,077.55 = 206,587.70/x
  3. Step 3: Cross multiply
    364,051.70x = 546,077.55 × 206,587.70
  4. Step 4: Simplify right side
    364,051.70x = 112,812,905,076.14
  5. Step 5: Solve for x
    x = 112,812,905,076.14/364,051.70
  6. Step 6: Final answer
    x = 309,881.55

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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.