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Finding the Fourth Proportional to 359,907.73, 496,596.29 and 214,674.93

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Solution

The fourth proportional to 359,907.73, 496,596.29 and 214,674.93 is: 296,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,907.73 : 496,596.29 = 214,674.93 : x
  2. Step 2: Convert to fraction form
    359,907.73/496,596.29 = 214,674.93/x
  3. Step 3: Cross multiply
    359,907.73x = 496,596.29 × 214,674.93
  4. Step 4: Simplify right side
    359,907.73x = 106,606,772,720.64
  5. Step 5: Solve for x
    x = 106,606,772,720.64/359,907.73
  6. Step 6: Final answer
    x = 296,205.85

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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.