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Finding the Fourth Proportional to 312,074.07, 430,661.10 and 168,834.15

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Solution

The fourth proportional to 312,074.07, 430,661.10 and 168,834.15 is: 232,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,074.07 : 430,661.10 = 168,834.15 : x
  2. Step 2: Convert to fraction form
    312,074.07/430,661.10 = 168,834.15/x
  3. Step 3: Cross multiply
    312,074.07x = 430,661.10 × 168,834.15
  4. Step 4: Simplify right side
    312,074.07x = 72,710,300,756.57
  5. Step 5: Solve for x
    x = 72,710,300,756.57/312,074.07
  6. Step 6: Final answer
    x = 232,990.52

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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.