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Finding the Fourth Proportional to 705,958.84, 974,306.10 and 419,479.12

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Solution

The fourth proportional to 705,958.84, 974,306.10 and 419,479.12 is: 578,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,958.84 : 974,306.10 = 419,479.12 : x
  2. Step 2: Convert to fraction form
    705,958.84/974,306.10 = 419,479.12/x
  3. Step 3: Cross multiply
    705,958.84x = 974,306.10 × 419,479.12
  4. Step 4: Simplify right side
    705,958.84x = 408,701,065,438.63
  5. Step 5: Solve for x
    x = 408,701,065,438.63/705,958.84
  6. Step 6: Final answer
    x = 578,930.45

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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.