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Finding the Fourth Proportional to 514,085.90, 770,898.45 and 233,458.70

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Solution

The fourth proportional to 514,085.90, 770,898.45 and 233,458.70 is: 350,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,085.90 : 770,898.45 = 233,458.70 : x
  2. Step 2: Convert to fraction form
    514,085.90/770,898.45 = 233,458.70/x
  3. Step 3: Cross multiply
    514,085.90x = 770,898.45 × 233,458.70
  4. Step 4: Simplify right side
    514,085.90x = 179,972,949,969.02
  5. Step 5: Solve for x
    x = 179,972,949,969.02/514,085.90
  6. Step 6: Final answer
    x = 350,083.42

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1.5x scale

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.