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Finding the Fourth Proportional to 412,686.86, 569,266.04 and 259,482.25

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Solution

The fourth proportional to 412,686.86, 569,266.04 and 259,482.25 is: 357,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,686.86 : 569,266.04 = 259,482.25 : x
  2. Step 2: Convert to fraction form
    412,686.86/569,266.04 = 259,482.25/x
  3. Step 3: Cross multiply
    412,686.86x = 569,266.04 × 259,482.25
  4. Step 4: Simplify right side
    412,686.86x = 147,714,428,764.05
  5. Step 5: Solve for x
    x = 147,714,428,764.05/412,686.86
  6. Step 6: Final answer
    x = 357,933.44

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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.