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Finding the Fourth Proportional to 378,047.80, 567,071.70 and 343,055.80

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Solution

The fourth proportional to 378,047.80, 567,071.70 and 343,055.80 is: 514,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047.80 : 567,071.70 = 343,055.80 : x
  2. Step 2: Convert to fraction form
    378,047.80/567,071.70 = 343,055.80/x
  3. Step 3: Cross multiply
    378,047.80x = 567,071.70 × 343,055.80
  4. Step 4: Simplify right side
    378,047.80x = 194,537,235,700.86
  5. Step 5: Solve for x
    x = 194,537,235,700.86/378,047.80
  6. Step 6: Final answer
    x = 514,583.70

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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.