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Finding the Fourth Proportional to 706,023.78, 974,312.96 and 383,733.87

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Solution

The fourth proportional to 706,023.78, 974,312.96 and 383,733.87 is: 529,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,023.78 : 974,312.96 = 383,733.87 : x
  2. Step 2: Convert to fraction form
    706,023.78/974,312.96 = 383,733.87/x
  3. Step 3: Cross multiply
    706,023.78x = 974,312.96 × 383,733.87
  4. Step 4: Simplify right side
    706,023.78x = 373,876,880,813.29
  5. Step 5: Solve for x
    x = 373,876,880,813.29/706,023.78
  6. Step 6: Final answer
    x = 529,552.82

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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.