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Finding the Fourth Proportional to 705,983.11, 974,263.08 and 383,693.97

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Solution

The fourth proportional to 705,983.11, 974,263.08 and 383,693.97 is: 529,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,983.11 : 974,263.08 = 383,693.97 : x
  2. Step 2: Convert to fraction form
    705,983.11/974,263.08 = 383,693.97/x
  3. Step 3: Cross multiply
    705,983.11x = 974,263.08 × 383,693.97
  4. Step 4: Simplify right side
    705,983.11x = 373,818,864,118.31
  5. Step 5: Solve for x
    x = 373,818,864,118.31/705,983.11
  6. Step 6: Final answer
    x = 529,501.14

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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.