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Finding the Fourth Proportional to 661,683.74, 992,624.02 and 306,733.64

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Solution

The fourth proportional to 661,683.74, 992,624.02 and 306,733.64 is: 460,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,683.74 : 992,624.02 = 306,733.64 : x
  2. Step 2: Convert to fraction form
    661,683.74/992,624.02 = 306,733.64/x
  3. Step 3: Cross multiply
    661,683.74x = 992,624.02 × 306,733.64
  4. Step 4: Simplify right side
    661,683.74x = 304,471,178,806.03
  5. Step 5: Solve for x
    x = 304,471,178,806.03/661,683.74
  6. Step 6: Final answer
    x = 460,146.08

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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.