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Finding the Fourth Proportional to 464,341.59, 696,512.54 and 306,533.14

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Solution

The fourth proportional to 464,341.59, 696,512.54 and 306,533.14 is: 459,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,341.59 : 696,512.54 = 306,533.14 : x
  2. Step 2: Convert to fraction form
    464,341.59/696,512.54 = 306,533.14/x
  3. Step 3: Cross multiply
    464,341.59x = 696,512.54 × 306,533.14
  4. Step 4: Simplify right side
    464,341.59x = 213,504,174,960.63
  5. Step 5: Solve for x
    x = 213,504,174,960.63/464,341.59
  6. Step 6: Final answer
    x = 459,799.81

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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.