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Finding the Fourth Proportional to 424,202.40, 585,409.68 and 233,219.52

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Solution

The fourth proportional to 424,202.40, 585,409.68 and 233,219.52 is: 321,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,202.40 : 585,409.68 = 233,219.52 : x
  2. Step 2: Convert to fraction form
    424,202.40/585,409.68 = 233,219.52/x
  3. Step 3: Cross multiply
    424,202.40x = 585,409.68 × 233,219.52
  4. Step 4: Simplify right side
    424,202.40x = 136,528,964,572.95
  5. Step 5: Solve for x
    x = 136,528,964,572.95/424,202.40
  6. Step 6: Final answer
    x = 321,848.64

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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.