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Finding the Fourth Proportional to 298,030.02, 411,268.90 and 168,977.17

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Solution

The fourth proportional to 298,030.02, 411,268.90 and 168,977.17 is: 233,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,030.02 : 411,268.90 = 168,977.17 : x
  2. Step 2: Convert to fraction form
    298,030.02/411,268.90 = 168,977.17/x
  3. Step 3: Cross multiply
    298,030.02x = 411,268.90 × 168,977.17
  4. Step 4: Simplify right side
    298,030.02x = 69,495,054,831.01
  5. Step 5: Solve for x
    x = 69,495,054,831.01/298,030.02
  6. Step 6: Final answer
    x = 233,181.39

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Why These Related Problems?

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