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Finding the Fourth Proportional to 713,578.35, 984,783.65 and 471,436.14

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Solution

The fourth proportional to 713,578.35, 984,783.65 and 471,436.14 is: 650,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,578.35 : 984,783.65 = 471,436.14 : x
  2. Step 2: Convert to fraction form
    713,578.35/984,783.65 = 471,436.14/x
  3. Step 3: Cross multiply
    713,578.35x = 984,783.65 × 471,436.14
  4. Step 4: Simplify right side
    713,578.35x = 464,262,600,333.93
  5. Step 5: Solve for x
    x = 464,262,600,333.93/713,578.35
  6. Step 6: Final answer
    x = 650,611.95

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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.