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Finding the Fourth Proportional to 720,500.64, 994,328.64 and 414,623.64

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Solution

The fourth proportional to 720,500.64, 994,328.64 and 414,623.64 is: 572,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,500.64 : 994,328.64 = 414,623.64 : x
  2. Step 2: Convert to fraction form
    720,500.64/994,328.64 = 414,623.64/x
  3. Step 3: Cross multiply
    720,500.64x = 994,328.64 × 414,623.64
  4. Step 4: Simplify right side
    720,500.64x = 412,272,160,073.05
  5. Step 5: Solve for x
    x = 412,272,160,073.05/720,500.64
  6. Step 6: Final answer
    x = 572,202.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.