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Finding the Fourth Proportional to 706,175.42, 974,528.42 and 383,886.14

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Solution

The fourth proportional to 706,175.42, 974,528.42 and 383,886.14 is: 529,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,175.42 : 974,528.42 = 383,886.14 : x
  2. Step 2: Convert to fraction form
    706,175.42/974,528.42 = 383,886.14/x
  3. Step 3: Cross multiply
    706,175.42x = 974,528.42 × 383,886.14
  4. Step 4: Simplify right side
    706,175.42x = 374,107,946,682.03
  5. Step 5: Solve for x
    x = 374,107,946,682.03/706,175.42
  6. Step 6: Final answer
    x = 529,766.31

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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.