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Finding the Fourth Proportional to 705,943.06, 974,208.92 and 383,653.14

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Solution

The fourth proportional to 705,943.06, 974,208.92 and 383,653.14 is: 529,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,943.06 : 974,208.92 = 383,653.14 : x
  2. Step 2: Convert to fraction form
    705,943.06/974,208.92 = 383,653.14/x
  3. Step 3: Cross multiply
    705,943.06x = 974,208.92 × 383,653.14
  4. Step 4: Simplify right side
    705,943.06x = 373,758,311,174.01
  5. Step 5: Solve for x
    x = 373,758,311,174.01/705,943.06
  6. Step 6: Final answer
    x = 529,445.41

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1.5x scale

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.