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Finding the Fourth Proportional to 685,768.68, 946,376.13 and 391,412.54

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Solution

The fourth proportional to 685,768.68, 946,376.13 and 391,412.54 is: 540,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,768.68 : 946,376.13 = 391,412.54 : x
  2. Step 2: Convert to fraction form
    685,768.68/946,376.13 = 391,412.54/x
  3. Step 3: Cross multiply
    685,768.68x = 946,376.13 × 391,412.54
  4. Step 4: Simplify right side
    685,768.68x = 370,423,480,106.79
  5. Step 5: Solve for x
    x = 370,423,480,106.79/685,768.68
  6. Step 6: Final answer
    x = 540,158.06

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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.