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Finding the Fourth Proportional to 290,574.06, 435,049.06 and 156,975.70

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Solution

The fourth proportional to 290,574.06, 435,049.06 and 156,975.70 is: 235,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,574.06 : 435,049.06 = 156,975.70 : x
  2. Step 2: Convert to fraction form
    290,574.06/435,049.06 = 156,975.70/x
  3. Step 3: Cross multiply
    290,574.06x = 435,049.06 × 156,975.70
  4. Step 4: Simplify right side
    290,574.06x = 68,292,130,727.84
  5. Step 5: Solve for x
    x = 68,292,130,727.84/290,574.06
  6. Step 6: Final answer
    x = 235,024.87

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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.