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Finding the Fourth Proportional to 370,482.96, 511,290 and 227,223.48

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Solution

The fourth proportional to 370,482.96, 511,290 and 227,223.48 is: 313,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,482.96 : 511,290 = 227,223.48 : x
  2. Step 2: Convert to fraction form
    370,482.96/511,290 = 227,223.48/x
  3. Step 3: Cross multiply
    370,482.96x = 511,290 × 227,223.48
  4. Step 4: Simplify right side
    370,482.96x = 116,177,093,089.20
  5. Step 5: Solve for x
    x = 116,177,093,089.20/370,482.96
  6. Step 6: Final answer
    x = 313,582.82

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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.