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Finding the Fourth Proportional to 620,433.90, 929,666.70 and 409,825.80

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Solution

The fourth proportional to 620,433.90, 929,666.70 and 409,825.80 is: 614,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,433.90 : 929,666.70 = 409,825.80 : x
  2. Step 2: Convert to fraction form
    620,433.90/929,666.70 = 409,825.80/x
  3. Step 3: Cross multiply
    620,433.90x = 929,666.70 × 409,825.80
  4. Step 4: Simplify right side
    620,433.90x = 381,001,399,060.86
  5. Step 5: Solve for x
    x = 381,001,399,060.86/620,433.90
  6. Step 6: Final answer
    x = 614,088.62

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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.