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Finding the Fourth Proportional to 460,053.48, 634,867.30 and 258,849

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Solution

The fourth proportional to 460,053.48, 634,867.30 and 258,849 is: 357,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,053.48 : 634,867.30 = 258,849 : x
  2. Step 2: Convert to fraction form
    460,053.48/634,867.30 = 258,849/x
  3. Step 3: Cross multiply
    460,053.48x = 634,867.30 × 258,849
  4. Step 4: Simplify right side
    460,053.48x = 164,334,765,737.70
  5. Step 5: Solve for x
    x = 164,334,765,737.70/460,053.48
  6. Step 6: Final answer
    x = 357,207.96

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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.