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Finding the Fourth Proportional to 706,031.46, 974,333.26 and 383,741.46

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Solution

The fourth proportional to 706,031.46, 974,333.26 and 383,741.46 is: 529,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,031.46 : 974,333.26 = 383,741.46 : x
  2. Step 2: Convert to fraction form
    706,031.46/974,333.26 = 383,741.46/x
  3. Step 3: Cross multiply
    706,031.46x = 974,333.26 × 383,741.46
  4. Step 4: Simplify right side
    706,031.46x = 373,892,067,718.96
  5. Step 5: Solve for x
    x = 373,892,067,718.96/706,031.46
  6. Step 6: Final answer
    x = 529,568.57

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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.