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Finding the Fourth Proportional to 526,340.14, 726,333.01 and 296,894.00

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Solution

The fourth proportional to 526,340.14, 726,333.01 and 296,894.00 is: 409,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,340.14 : 726,333.01 = 296,894.00 : x
  2. Step 2: Convert to fraction form
    526,340.14/726,333.01 = 296,894.00/x
  3. Step 3: Cross multiply
    526,340.14x = 726,333.01 × 296,894.00
  4. Step 4: Simplify right side
    526,340.14x = 215,643,909,039.28
  5. Step 5: Solve for x
    x = 215,643,909,039.28/526,340.14
  6. Step 6: Final answer
    x = 409,704.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.