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Finding the Fourth Proportional to 965,333.76, 1,448,208.64 and 291,358.72

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Solution

The fourth proportional to 965,333.76, 1,448,208.64 and 291,358.72 is: 437,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,333.76 : 1,448,208.64 = 291,358.72 : x
  2. Step 2: Convert to fraction form
    965,333.76/1,448,208.64 = 291,358.72/x
  3. Step 3: Cross multiply
    965,333.76x = 1,448,208.64 × 291,358.72
  4. Step 4: Simplify right side
    965,333.76x = 421,948,215,643.34
  5. Step 5: Solve for x
    x = 421,948,215,643.34/965,333.76
  6. Step 6: Final answer
    x = 437,100.86

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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.