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Finding the Fourth Proportional to 500,314.83, 750,612.54 and 201,005.58

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Solution

The fourth proportional to 500,314.83, 750,612.54 and 201,005.58 is: 301,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,314.83 : 750,612.54 = 201,005.58 : x
  2. Step 2: Convert to fraction form
    500,314.83/750,612.54 = 201,005.58/x
  3. Step 3: Cross multiply
    500,314.83x = 750,612.54 × 201,005.58
  4. Step 4: Simplify right side
    500,314.83x = 150,877,308,957.97
  5. Step 5: Solve for x
    x = 150,877,308,957.97/500,314.83
  6. Step 6: Final answer
    x = 301,564.73

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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.