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Finding the Fourth Proportional to 649,393.74, 974,218.19 and 200,038.14

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Solution

The fourth proportional to 649,393.74, 974,218.19 and 200,038.14 is: 300,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,393.74 : 974,218.19 = 200,038.14 : x
  2. Step 2: Convert to fraction form
    649,393.74/974,218.19 = 200,038.14/x
  3. Step 3: Cross multiply
    649,393.74x = 974,218.19 × 200,038.14
  4. Step 4: Simplify right side
    649,393.74x = 194,880,793,681.58
  5. Step 5: Solve for x
    x = 194,880,793,681.58/649,393.74
  6. Step 6: Final answer
    x = 300,096.51

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Double scale
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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.