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Finding the Fourth Proportional to 511,430.32, 705,783.24 and 285,051.52

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Solution

The fourth proportional to 511,430.32, 705,783.24 and 285,051.52 is: 393,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,430.32 : 705,783.24 = 285,051.52 : x
  2. Step 2: Convert to fraction form
    511,430.32/705,783.24 = 285,051.52/x
  3. Step 3: Cross multiply
    511,430.32x = 705,783.24 × 285,051.52
  4. Step 4: Simplify right side
    511,430.32x = 201,184,585,352.53
  5. Step 5: Solve for x
    x = 201,184,585,352.53/511,430.32
  6. Step 6: Final answer
    x = 393,376.34

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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.