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Finding the Fourth Proportional to 364,513.20, 509,137.50 and 364,513.20

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Solution

The fourth proportional to 364,513.20, 509,137.50 and 364,513.20 is: 509,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.20 : 509,137.50 = 364,513.20 : x
  2. Step 2: Convert to fraction form
    364,513.20/509,137.50 = 364,513.20/x
  3. Step 3: Cross multiply
    364,513.20x = 509,137.50 × 364,513.20
  4. Step 4: Simplify right side
    364,513.20x = 185,587,339,365
  5. Step 5: Solve for x
    x = 185,587,339,365/364,513.20
  6. Step 6: Final answer
    x = 509,137.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.