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Finding the Fourth Proportional to 306,810.46, 460,247.10 and 117,429.94

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Solution

The fourth proportional to 306,810.46, 460,247.10 and 117,429.94 is: 176,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,810.46 : 460,247.10 = 117,429.94 : x
  2. Step 2: Convert to fraction form
    306,810.46/460,247.10 = 117,429.94/x
  3. Step 3: Cross multiply
    306,810.46x = 460,247.10 × 117,429.94
  4. Step 4: Simplify right side
    306,810.46x = 54,046,789,338.17
  5. Step 5: Solve for x
    x = 54,046,789,338.17/306,810.46
  6. Step 6: Final answer
    x = 176,156.93

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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.