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Finding the Fourth Proportional to 460,056.48, 634,871.44 and 258,852

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Solution

The fourth proportional to 460,056.48, 634,871.44 and 258,852 is: 357,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,056.48 : 634,871.44 = 258,852 : x
  2. Step 2: Convert to fraction form
    460,056.48/634,871.44 = 258,852/x
  3. Step 3: Cross multiply
    460,056.48x = 634,871.44 × 258,852
  4. Step 4: Simplify right side
    460,056.48x = 164,337,741,986.88
  5. Step 5: Solve for x
    x = 164,337,741,986.88/460,056.48
  6. Step 6: Final answer
    x = 357,212.10

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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.