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Finding the Fourth Proportional to 776,686.72, 1,071,891.84 and 432,588.64

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Solution

The fourth proportional to 776,686.72, 1,071,891.84 and 432,588.64 is: 597,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,686.72 : 1,071,891.84 = 432,588.64 : x
  2. Step 2: Convert to fraction form
    776,686.72/1,071,891.84 = 432,588.64/x
  3. Step 3: Cross multiply
    776,686.72x = 1,071,891.84 × 432,588.64
  4. Step 4: Simplify right side
    776,686.72x = 463,688,233,292.70
  5. Step 5: Solve for x
    x = 463,688,233,292.70/776,686.72
  6. Step 6: Final answer
    x = 597,008.06

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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.