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Finding the Fourth Proportional to 307,285.16, 460,594.56 and 157,319.70

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Solution

The fourth proportional to 307,285.16, 460,594.56 and 157,319.70 is: 235,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,285.16 : 460,594.56 = 157,319.70 : x
  2. Step 2: Convert to fraction form
    307,285.16/460,594.56 = 157,319.70/x
  3. Step 3: Cross multiply
    307,285.16x = 460,594.56 × 157,319.70
  4. Step 4: Simplify right side
    307,285.16x = 72,460,598,000.83
  5. Step 5: Solve for x
    x = 72,460,598,000.83/307,285.16
  6. Step 6: Final answer
    x = 235,808.97

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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.