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Finding the Fourth Proportional to 705,849.62, 974,071.73 and 383,558.95

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Solution

The fourth proportional to 705,849.62, 974,071.73 and 383,558.95 is: 529,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,849.62 : 974,071.73 = 383,558.95 : x
  2. Step 2: Convert to fraction form
    705,849.62/974,071.73 = 383,558.95/x
  3. Step 3: Cross multiply
    705,849.62x = 974,071.73 × 383,558.95
  4. Step 4: Simplify right side
    705,849.62x = 373,613,925,113.13
  5. Step 5: Solve for x
    x = 373,613,925,113.13/705,849.62
  6. Step 6: Final answer
    x = 529,310.94

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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.