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Finding the Fourth Proportional to 464,221.39, 696,332.09 and 306,412.94

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Solution

The fourth proportional to 464,221.39, 696,332.09 and 306,412.94 is: 459,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,221.39 : 696,332.09 = 306,412.94 : x
  2. Step 2: Convert to fraction form
    464,221.39/696,332.09 = 306,412.94/x
  3. Step 3: Cross multiply
    464,221.39x = 696,332.09 × 306,412.94
  4. Step 4: Simplify right side
    464,221.39x = 213,365,157,899.52
  5. Step 5: Solve for x
    x = 213,365,157,899.52/464,221.39
  6. Step 6: Final answer
    x = 459,619.40

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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.