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Finding the Fourth Proportional to 509,347.44, 764,307.90 and 469,194.12

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Solution

The fourth proportional to 509,347.44, 764,307.90 and 469,194.12 is: 704,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.44 : 764,307.90 = 469,194.12 : x
  2. Step 2: Convert to fraction form
    509,347.44/764,307.90 = 469,194.12/x
  3. Step 3: Cross multiply
    509,347.44x = 764,307.90 × 469,194.12
  4. Step 4: Simplify right side
    509,347.44x = 358,608,772,549.55
  5. Step 5: Solve for x
    x = 358,608,772,549.55/509,347.44
  6. Step 6: Final answer
    x = 704,055.32

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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.