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Finding the Fourth Proportional to 328,168.80, 492,362.40 and 117,823.20

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Solution

The fourth proportional to 328,168.80, 492,362.40 and 117,823.20 is: 176,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,168.80 : 492,362.40 = 117,823.20 : x
  2. Step 2: Convert to fraction form
    328,168.80/492,362.40 = 117,823.20/x
  3. Step 3: Cross multiply
    328,168.80x = 492,362.40 × 117,823.20
  4. Step 4: Simplify right side
    328,168.80x = 58,011,713,527.68
  5. Step 5: Solve for x
    x = 58,011,713,527.68/328,168.80
  6. Step 6: Final answer
    x = 176,774.01

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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.