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Finding the Fourth Proportional to 314,395.16, 433,038.56 and 241,658.78

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Solution

The fourth proportional to 314,395.16, 433,038.56 and 241,658.78 is: 332,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,395.16 : 433,038.56 = 241,658.78 : x
  2. Step 2: Convert to fraction form
    314,395.16/433,038.56 = 241,658.78/x
  3. Step 3: Cross multiply
    314,395.16x = 433,038.56 × 241,658.78
  4. Step 4: Simplify right side
    314,395.16x = 104,647,570,102.56
  5. Step 5: Solve for x
    x = 104,647,570,102.56/314,395.16
  6. Step 6: Final answer
    x = 332,853.63

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1.5x scale

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.