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Finding the Fourth Proportional to 771,668.10, 1,064,642.94 and 449,309.16

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Solution

The fourth proportional to 771,668.10, 1,064,642.94 and 449,309.16 is: 619,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,668.10 : 1,064,642.94 = 449,309.16 : x
  2. Step 2: Convert to fraction form
    771,668.10/1,064,642.94 = 449,309.16/x
  3. Step 3: Cross multiply
    771,668.10x = 1,064,642.94 × 449,309.16
  4. Step 4: Simplify right side
    771,668.10x = 478,353,825,071.33
  5. Step 5: Solve for x
    x = 478,353,825,071.33/771,668.10
  6. Step 6: Final answer
    x = 619,895.81

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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.