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Finding the Fourth Proportional to 306,923.80, 460,312.78 and 117,314.54

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Solution

The fourth proportional to 306,923.80, 460,312.78 and 117,314.54 is: 175,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,923.80 : 460,312.78 = 117,314.54 : x
  2. Step 2: Convert to fraction form
    306,923.80/460,312.78 = 117,314.54/x
  3. Step 3: Cross multiply
    306,923.80x = 460,312.78 × 117,314.54
  4. Step 4: Simplify right side
    306,923.80x = 54,001,382,041.82
  5. Step 5: Solve for x
    x = 54,001,382,041.82/306,923.80
  6. Step 6: Final answer
    x = 175,943.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.