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Finding the Fourth Proportional to 410,741.76, 567,603.06 and 296,395.68

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Solution

The fourth proportional to 410,741.76, 567,603.06 and 296,395.68 is: 409,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,741.76 : 567,603.06 = 296,395.68 : x
  2. Step 2: Convert to fraction form
    410,741.76/567,603.06 = 296,395.68/x
  3. Step 3: Cross multiply
    410,741.76x = 567,603.06 × 296,395.68
  4. Step 4: Simplify right side
    410,741.76x = 168,235,094,938.78
  5. Step 5: Solve for x
    x = 168,235,094,938.78/410,741.76
  6. Step 6: Final answer
    x = 409,588.48

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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.