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Finding the Fourth Proportional to 292,533, 438,799.50 and 70,917

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Solution

The fourth proportional to 292,533, 438,799.50 and 70,917 is: 106,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,533 : 438,799.50 = 70,917 : x
  2. Step 2: Convert to fraction form
    292,533/438,799.50 = 70,917/x
  3. Step 3: Cross multiply
    292,533x = 438,799.50 × 70,917
  4. Step 4: Simplify right side
    292,533x = 31,118,344,141.50
  5. Step 5: Solve for x
    x = 31,118,344,141.50/292,533
  6. Step 6: Final answer
    x = 106,375.50

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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.