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Finding the Fourth Proportional to 511,506, 705,878.28 and 285,166.08

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Solution

The fourth proportional to 511,506, 705,878.28 and 285,166.08 is: 393,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,506 : 705,878.28 = 285,166.08 : x
  2. Step 2: Convert to fraction form
    511,506/705,878.28 = 285,166.08/x
  3. Step 3: Cross multiply
    511,506x = 705,878.28 × 285,166.08
  4. Step 4: Simplify right side
    511,506x = 201,292,542,064.74
  5. Step 5: Solve for x
    x = 201,292,542,064.74/511,506
  6. Step 6: Final answer
    x = 393,529.19

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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.