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Finding the Fourth Proportional to 312,024.54, 430,457.06 and 182,897.54

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Solution

The fourth proportional to 312,024.54, 430,457.06 and 182,897.54 is: 252,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,024.54 : 430,457.06 = 182,897.54 : x
  2. Step 2: Convert to fraction form
    312,024.54/430,457.06 = 182,897.54/x
  3. Step 3: Cross multiply
    312,024.54x = 430,457.06 × 182,897.54
  4. Step 4: Simplify right side
    312,024.54x = 78,729,537,349.63
  5. Step 5: Solve for x
    x = 78,729,537,349.63/312,024.54
  6. Step 6: Final answer
    x = 252,318.41

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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.