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Finding the Fourth Proportional to 771,564.89, 1,064,768.06 and 427,406.09

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Solution

The fourth proportional to 771,564.89, 1,064,768.06 and 427,406.09 is: 589,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,564.89 : 1,064,768.06 = 427,406.09 : x
  2. Step 2: Convert to fraction form
    771,564.89/1,064,768.06 = 427,406.09/x
  3. Step 3: Cross multiply
    771,564.89x = 1,064,768.06 × 427,406.09
  4. Step 4: Simplify right side
    771,564.89x = 455,088,345,820.62
  5. Step 5: Solve for x
    x = 455,088,345,820.62/771,564.89
  6. Step 6: Final answer
    x = 589,825.11

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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.