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Finding the Fourth Proportional to 304,416.64, 420,084.12 and 168,448.24

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Solution

The fourth proportional to 304,416.64, 420,084.12 and 168,448.24 is: 232,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,416.64 : 420,084.12 = 168,448.24 : x
  2. Step 2: Convert to fraction form
    304,416.64/420,084.12 = 168,448.24/x
  3. Step 3: Cross multiply
    304,416.64x = 420,084.12 × 168,448.24
  4. Step 4: Simplify right side
    304,416.64x = 70,762,430,665.95
  5. Step 5: Solve for x
    x = 70,762,430,665.95/304,416.64
  6. Step 6: Final answer
    x = 232,452.57

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1.5x scale

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.