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Finding the Fourth Proportional to 705,932.31, 974,194.19 and 383,642.48

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Solution

The fourth proportional to 705,932.31, 974,194.19 and 383,642.48 is: 529,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,932.31 : 974,194.19 = 383,642.48 : x
  2. Step 2: Convert to fraction form
    705,932.31/974,194.19 = 383,642.48/x
  3. Step 3: Cross multiply
    705,932.31x = 974,194.19 × 383,642.48
  4. Step 4: Simplify right side
    705,932.31x = 373,742,271,529.28
  5. Step 5: Solve for x
    x = 373,742,271,529.28/705,932.31
  6. Step 6: Final answer
    x = 529,430.75

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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.