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Finding the Fourth Proportional to 829,444.60, 1,144,671.06 and 466,993

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Solution

The fourth proportional to 829,444.60, 1,144,671.06 and 466,993 is: 644,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,444.60 : 1,144,671.06 = 466,993 : x
  2. Step 2: Convert to fraction form
    829,444.60/1,144,671.06 = 466,993/x
  3. Step 3: Cross multiply
    829,444.60x = 1,144,671.06 × 466,993
  4. Step 4: Simplify right side
    829,444.60x = 534,553,372,322.58
  5. Step 5: Solve for x
    x = 534,553,372,322.58/829,444.60
  6. Step 6: Final answer
    x = 644,471.46

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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.