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Finding the Fourth Proportional to 757,642.72, 1,045,572.06 and 413,497.48

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Solution

The fourth proportional to 757,642.72, 1,045,572.06 and 413,497.48 is: 570,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,642.72 : 1,045,572.06 = 413,497.48 : x
  2. Step 2: Convert to fraction form
    757,642.72/1,045,572.06 = 413,497.48/x
  3. Step 3: Cross multiply
    757,642.72x = 1,045,572.06 × 413,497.48
  4. Step 4: Simplify right side
    757,642.72x = 432,341,411,968.41
  5. Step 5: Solve for x
    x = 432,341,411,968.41/757,642.72
  6. Step 6: Final answer
    x = 570,640.22

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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.