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Finding the Fourth Proportional to 559,200.85, 838,582.58 and 204,032.05

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Solution

The fourth proportional to 559,200.85, 838,582.58 and 204,032.05 is: 305,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,200.85 : 838,582.58 = 204,032.05 : x
  2. Step 2: Convert to fraction form
    559,200.85/838,582.58 = 204,032.05/x
  3. Step 3: Cross multiply
    559,200.85x = 838,582.58 × 204,032.05
  4. Step 4: Simplify right side
    559,200.85x = 171,097,721,871.53
  5. Step 5: Solve for x
    x = 171,097,721,871.53/559,200.85
  6. Step 6: Final answer
    x = 305,968.28

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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.