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Finding the Fourth Proportional to 384,539.40, 576,578.70 and 197,915.40

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Solution

The fourth proportional to 384,539.40, 576,578.70 and 197,915.40 is: 296,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,539.40 : 576,578.70 = 197,915.40 : x
  2. Step 2: Convert to fraction form
    384,539.40/576,578.70 = 197,915.40/x
  3. Step 3: Cross multiply
    384,539.40x = 576,578.70 × 197,915.40
  4. Step 4: Simplify right side
    384,539.40x = 114,113,804,041.98
  5. Step 5: Solve for x
    x = 114,113,804,041.98/384,539.40
  6. Step 6: Final answer
    x = 296,754.52

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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.