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Finding the Fourth Proportional to 597,290.10, 824,200.56 and 367,810.62

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Solution

The fourth proportional to 597,290.10, 824,200.56 and 367,810.62 is: 507,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,290.10 : 824,200.56 = 367,810.62 : x
  2. Step 2: Convert to fraction form
    597,290.10/824,200.56 = 367,810.62/x
  3. Step 3: Cross multiply
    597,290.10x = 824,200.56 × 367,810.62
  4. Step 4: Simplify right side
    597,290.10x = 303,149,718,977.95
  5. Step 5: Solve for x
    x = 303,149,718,977.95/597,290.10
  6. Step 6: Final answer
    x = 507,541.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.