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Finding the Fourth Proportional to 769,698.16, 1,062,185 and 430,166.40

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Solution

The fourth proportional to 769,698.16, 1,062,185 and 430,166.40 is: 593,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,698.16 : 1,062,185 = 430,166.40 : x
  2. Step 2: Convert to fraction form
    769,698.16/1,062,185 = 430,166.40/x
  3. Step 3: Cross multiply
    769,698.16x = 1,062,185 × 430,166.40
  4. Step 4: Simplify right side
    769,698.16x = 456,916,297,584
  5. Step 5: Solve for x
    x = 456,916,297,584/769,698.16
  6. Step 6: Final answer
    x = 593,630.49

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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.