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Finding the Fourth Proportional to 506,093.94, 758,765.88 and 306,367.11

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Solution

The fourth proportional to 506,093.94, 758,765.88 and 306,367.11 is: 459,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,093.94 : 758,765.88 = 306,367.11 : x
  2. Step 2: Convert to fraction form
    506,093.94/758,765.88 = 306,367.11/x
  3. Step 3: Cross multiply
    506,093.94x = 758,765.88 × 306,367.11
  4. Step 4: Simplify right side
    506,093.94x = 232,460,909,822.21
  5. Step 5: Solve for x
    x = 232,460,909,822.21/506,093.94
  6. Step 6: Final answer
    x = 459,323.64

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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.