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Finding the Fourth Proportional to 713,223.06, 984,348.75 and 441,378.51

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Solution

The fourth proportional to 713,223.06, 984,348.75 and 441,378.51 is: 609,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,223.06 : 984,348.75 = 441,378.51 : x
  2. Step 2: Convert to fraction form
    713,223.06/984,348.75 = 441,378.51/x
  3. Step 3: Cross multiply
    713,223.06x = 984,348.75 × 441,378.51
  4. Step 4: Simplify right side
    713,223.06x = 434,470,384,595.36
  5. Step 5: Solve for x
    x = 434,470,384,595.36/713,223.06
  6. Step 6: Final answer
    x = 609,164.80

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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.