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Finding the Fourth Proportional to 757,777.64, 1,045,717.16 and 413,602.16

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Solution

The fourth proportional to 757,777.64, 1,045,717.16 and 413,602.16 is: 570,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,777.64 : 1,045,717.16 = 413,602.16 : x
  2. Step 2: Convert to fraction form
    757,777.64/1,045,717.16 = 413,602.16/x
  3. Step 3: Cross multiply
    757,777.64x = 1,045,717.16 × 413,602.16
  4. Step 4: Simplify right side
    757,777.64x = 432,510,876,125.07
  5. Step 5: Solve for x
    x = 432,510,876,125.07/757,777.64
  6. Step 6: Final answer
    x = 570,762.26

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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.