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Finding the Fourth Proportional to 974,194, 1,460,007.96 and 412,533.52

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Solution

The fourth proportional to 974,194, 1,460,007.96 and 412,533.52 is: 618,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,194 : 1,460,007.96 = 412,533.52 : x
  2. Step 2: Convert to fraction form
    974,194/1,460,007.96 = 412,533.52/x
  3. Step 3: Cross multiply
    974,194x = 1,460,007.96 × 412,533.52
  4. Step 4: Simplify right side
    974,194x = 602,302,222,966.82
  5. Step 5: Solve for x
    x = 602,302,222,966.82/974,194
  6. Step 6: Final answer
    x = 618,256.96

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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.