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Finding the Fourth Proportional to 433,745.64, 648,106.29 and 313,228.98

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Solution

The fourth proportional to 433,745.64, 648,106.29 and 313,228.98 is: 468,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,745.64 : 648,106.29 = 313,228.98 : x
  2. Step 2: Convert to fraction form
    433,745.64/648,106.29 = 313,228.98/x
  3. Step 3: Cross multiply
    433,745.64x = 648,106.29 × 313,228.98
  4. Step 4: Simplify right side
    433,745.64x = 203,005,672,148.28
  5. Step 5: Solve for x
    x = 203,005,672,148.28/433,745.64
  6. Step 6: Final answer
    x = 468,029.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.