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Finding the Fourth Proportional to 378,063.60, 567,095.40 and 343,071.60

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Solution

The fourth proportional to 378,063.60, 567,095.40 and 343,071.60 is: 514,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,063.60 : 567,095.40 = 343,071.60 : x
  2. Step 2: Convert to fraction form
    378,063.60/567,095.40 = 343,071.60/x
  3. Step 3: Cross multiply
    378,063.60x = 567,095.40 × 343,071.60
  4. Step 4: Simplify right side
    378,063.60x = 194,554,326,230.64
  5. Step 5: Solve for x
    x = 194,554,326,230.64/378,063.60
  6. Step 6: Final answer
    x = 514,607.40

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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.