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Finding the Fourth Proportional to 705,983.61, 974,263.77 and 383,694.47

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Solution

The fourth proportional to 705,983.61, 974,263.77 and 383,694.47 is: 529,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,983.61 : 974,263.77 = 383,694.47 : x
  2. Step 2: Convert to fraction form
    705,983.61/974,263.77 = 383,694.47/x
  3. Step 3: Cross multiply
    705,983.61x = 974,263.77 × 383,694.47
  4. Step 4: Simplify right side
    705,983.61x = 373,819,615,999.03
  5. Step 5: Solve for x
    x = 373,819,615,999.03/705,983.61
  6. Step 6: Final answer
    x = 529,501.83

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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.