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Finding the Fourth Proportional to 771,675.98, 1,064,920.31 and 427,519.22

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Solution

The fourth proportional to 771,675.98, 1,064,920.31 and 427,519.22 is: 589,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,675.98 : 1,064,920.31 = 427,519.22 : x
  2. Step 2: Convert to fraction form
    771,675.98/1,064,920.31 = 427,519.22/x
  3. Step 3: Cross multiply
    771,675.98x = 1,064,920.31 × 427,519.22
  4. Step 4: Simplify right side
    771,675.98x = 455,273,892,831.16
  5. Step 5: Solve for x
    x = 455,273,892,831.16/771,675.98
  6. Step 6: Final answer
    x = 589,980.65

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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.