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Finding the Fourth Proportional to 413,529.90, 620,402.85 and 133,053.90

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Solution

The fourth proportional to 413,529.90, 620,402.85 and 133,053.90 is: 199,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,529.90 : 620,402.85 = 133,053.90 : x
  2. Step 2: Convert to fraction form
    413,529.90/620,402.85 = 133,053.90/x
  3. Step 3: Cross multiply
    413,529.90x = 620,402.85 × 133,053.90
  4. Step 4: Simplify right side
    413,529.90x = 82,547,018,763.62
  5. Step 5: Solve for x
    x = 82,547,018,763.62/413,529.90
  6. Step 6: Final answer
    x = 199,615.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.