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Finding the Fourth Proportional to 470,476.35, 705,741.56 and 133,490.63

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Solution

The fourth proportional to 470,476.35, 705,741.56 and 133,490.63 is: 200,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,476.35 : 705,741.56 = 133,490.63 : x
  2. Step 2: Convert to fraction form
    470,476.35/705,741.56 = 133,490.63/x
  3. Step 3: Cross multiply
    470,476.35x = 705,741.56 × 133,490.63
  4. Step 4: Simplify right side
    470,476.35x = 94,209,887,059.07
  5. Step 5: Solve for x
    x = 94,209,887,059.07/470,476.35
  6. Step 6: Final answer
    x = 200,243.62

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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.