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Finding the Fourth Proportional to 973,265.10, 1,458,978.84 and 468,111.84

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Solution

The fourth proportional to 973,265.10, 1,458,978.84 and 468,111.84 is: 701,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,265.10 : 1,458,978.84 = 468,111.84 : x
  2. Step 2: Convert to fraction form
    973,265.10/1,458,978.84 = 468,111.84/x
  3. Step 3: Cross multiply
    973,265.10x = 1,458,978.84 × 468,111.84
  4. Step 4: Simplify right side
    973,265.10x = 682,965,269,313.47
  5. Step 5: Solve for x
    x = 682,965,269,313.47/973,265.10
  6. Step 6: Final answer
    x = 701,725.84

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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.