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Finding the Fourth Proportional to 643,006.64, 964,312.98 and 444,602

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Solution

The fourth proportional to 643,006.64, 964,312.98 and 444,602 is: 666,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,006.64 : 964,312.98 = 444,602 : x
  2. Step 2: Convert to fraction form
    643,006.64/964,312.98 = 444,602/x
  3. Step 3: Cross multiply
    643,006.64x = 964,312.98 × 444,602
  4. Step 4: Simplify right side
    643,006.64x = 428,735,479,533.96
  5. Step 5: Solve for x
    x = 428,735,479,533.96/643,006.64
  6. Step 6: Final answer
    x = 666,766.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.