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Finding the Fourth Proportional to 346,681.36, 519,596.70 and 197,047

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Solution

The fourth proportional to 346,681.36, 519,596.70 and 197,047 is: 295,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,681.36 : 519,596.70 = 197,047 : x
  2. Step 2: Convert to fraction form
    346,681.36/519,596.70 = 197,047/x
  3. Step 3: Cross multiply
    346,681.36x = 519,596.70 × 197,047
  4. Step 4: Simplify right side
    346,681.36x = 102,384,970,944.90
  5. Step 5: Solve for x
    x = 102,384,970,944.90/346,681.36
  6. Step 6: Final answer
    x = 295,328.74

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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.