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Finding the Fourth Proportional to 705,969.81, 974,245.91 and 383,679.92

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Solution

The fourth proportional to 705,969.81, 974,245.91 and 383,679.92 is: 529,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,969.81 : 974,245.91 = 383,679.92 : x
  2. Step 2: Convert to fraction form
    705,969.81/974,245.91 = 383,679.92/x
  3. Step 3: Cross multiply
    705,969.81x = 974,245.91 × 383,679.92
  4. Step 4: Simplify right side
    705,969.81x = 373,798,593,326.34
  5. Step 5: Solve for x
    x = 373,798,593,326.34/705,969.81
  6. Step 6: Final answer
    x = 529,482.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.