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Finding the Fourth Proportional to 312,182.47, 430,813.14 and 168,942.52

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Solution

The fourth proportional to 312,182.47, 430,813.14 and 168,942.52 is: 233,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,182.47 : 430,813.14 = 168,942.52 : x
  2. Step 2: Convert to fraction form
    312,182.47/430,813.14 = 168,942.52/x
  3. Step 3: Cross multiply
    312,182.47x = 430,813.14 × 168,942.52
  4. Step 4: Simplify right side
    312,182.47x = 72,782,657,520.71
  5. Step 5: Solve for x
    x = 72,782,657,520.71/312,182.47
  6. Step 6: Final answer
    x = 233,141.40

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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.