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Finding the Fourth Proportional to 583,466.34, 875,531.46 and 465,884.84

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Solution

The fourth proportional to 583,466.34, 875,531.46 and 465,884.84 is: 699,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,466.34 : 875,531.46 = 465,884.84 : x
  2. Step 2: Convert to fraction form
    583,466.34/875,531.46 = 465,884.84/x
  3. Step 3: Cross multiply
    583,466.34x = 875,531.46 × 465,884.84
  4. Step 4: Simplify right side
    583,466.34x = 407,896,834,157.07
  5. Step 5: Solve for x
    x = 407,896,834,157.07/583,466.34
  6. Step 6: Final answer
    x = 699,092.31

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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.