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Finding the Fourth Proportional to 364,509.40, 547,420.20 and 264,782.20

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Solution

The fourth proportional to 364,509.40, 547,420.20 and 264,782.20 is: 397,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,509.40 : 547,420.20 = 264,782.20 : x
  2. Step 2: Convert to fraction form
    364,509.40/547,420.20 = 264,782.20/x
  3. Step 3: Cross multiply
    364,509.40x = 547,420.20 × 264,782.20
  4. Step 4: Simplify right side
    364,509.40x = 144,947,124,880.44
  5. Step 5: Solve for x
    x = 144,947,124,880.44/364,509.40
  6. Step 6: Final answer
    x = 397,649.90

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1.5x scale

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.