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Finding the Fourth Proportional to 511,366.16, 705,528.93 and 296,463.34

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Solution

The fourth proportional to 511,366.16, 705,528.93 and 296,463.34 is: 409,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,366.16 : 705,528.93 = 296,463.34 : x
  2. Step 2: Convert to fraction form
    511,366.16/705,528.93 = 296,463.34/x
  3. Step 3: Cross multiply
    511,366.16x = 705,528.93 × 296,463.34
  4. Step 4: Simplify right side
    511,366.16x = 209,163,463,172.02
  5. Step 5: Solve for x
    x = 209,163,463,172.02/511,366.16
  6. Step 6: Final answer
    x = 409,028.75

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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.