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Finding the Fourth Proportional to 771,514.69, 1,064,679.01 and 427,349.49

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Solution

The fourth proportional to 771,514.69, 1,064,679.01 and 427,349.49 is: 589,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,514.69 : 1,064,679.01 = 427,349.49 : x
  2. Step 2: Convert to fraction form
    771,514.69/1,064,679.01 = 427,349.49/x
  3. Step 3: Cross multiply
    771,514.69x = 1,064,679.01 × 427,349.49
  4. Step 4: Simplify right side
    771,514.69x = 454,990,029,881.07
  5. Step 5: Solve for x
    x = 454,990,029,881.07/771,514.69
  6. Step 6: Final answer
    x = 589,736.06

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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.