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Finding the Fourth Proportional to 705,978.86, 974,257.27 and 383,689.78

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Solution

The fourth proportional to 705,978.86, 974,257.27 and 383,689.78 is: 529,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,978.86 : 974,257.27 = 383,689.78 : x
  2. Step 2: Convert to fraction form
    705,978.86/974,257.27 = 383,689.78/x
  3. Step 3: Cross multiply
    705,978.86x = 974,257.27 × 383,689.78
  4. Step 4: Simplify right side
    705,978.86x = 373,812,554,194.83
  5. Step 5: Solve for x
    x = 373,812,554,194.83/705,978.86
  6. Step 6: Final answer
    x = 529,495.40

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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.