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Finding the Fourth Proportional to 436,646.02, 654,761.60 and 152,302.02

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Solution

The fourth proportional to 436,646.02, 654,761.60 and 152,302.02 is: 228,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,646.02 : 654,761.60 = 152,302.02 : x
  2. Step 2: Convert to fraction form
    436,646.02/654,761.60 = 152,302.02/x
  3. Step 3: Cross multiply
    436,646.02x = 654,761.60 × 152,302.02
  4. Step 4: Simplify right side
    436,646.02x = 99,721,514,298.43
  5. Step 5: Solve for x
    x = 99,721,514,298.43/436,646.02
  6. Step 6: Final answer
    x = 228,380.68

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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.