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Finding the Fourth Proportional to 434,336.06, 650,783.52 and 307,346.69

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Solution

The fourth proportional to 434,336.06, 650,783.52 and 307,346.69 is: 460,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,336.06 : 650,783.52 = 307,346.69 : x
  2. Step 2: Convert to fraction form
    434,336.06/650,783.52 = 307,346.69/x
  3. Step 3: Cross multiply
    434,336.06x = 650,783.52 × 307,346.69
  4. Step 4: Simplify right side
    434,336.06x = 200,016,157,524.63
  5. Step 5: Solve for x
    x = 200,016,157,524.63/434,336.06
  6. Step 6: Final answer
    x = 460,510.14

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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.