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Finding the Fourth Proportional to 597,114.80, 824,093.76 and 342,460.52

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Solution

The fourth proportional to 597,114.80, 824,093.76 and 342,460.52 is: 472,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,114.80 : 824,093.76 = 342,460.52 : x
  2. Step 2: Convert to fraction form
    597,114.80/824,093.76 = 342,460.52/x
  3. Step 3: Cross multiply
    597,114.80x = 824,093.76 × 342,460.52
  4. Step 4: Simplify right side
    597,114.80x = 282,219,577,578.36
  5. Step 5: Solve for x
    x = 282,219,577,578.36/597,114.80
  6. Step 6: Final answer
    x = 472,638.72

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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.