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Finding the Fourth Proportional to 705,999.12, 974,285.16 and 383,710

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Solution

The fourth proportional to 705,999.12, 974,285.16 and 383,710 is: 529,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,999.12 : 974,285.16 = 383,710 : x
  2. Step 2: Convert to fraction form
    705,999.12/974,285.16 = 383,710/x
  3. Step 3: Cross multiply
    705,999.12x = 974,285.16 × 383,710
  4. Step 4: Simplify right side
    705,999.12x = 373,842,958,743.60
  5. Step 5: Solve for x
    x = 373,842,958,743.60/705,999.12
  6. Step 6: Final answer
    x = 529,523.26

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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.