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Finding the Fourth Proportional to 458,892, 633,270.96 and 257,688

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Solution

The fourth proportional to 458,892, 633,270.96 and 257,688 is: 355,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,892 : 633,270.96 = 257,688 : x
  2. Step 2: Convert to fraction form
    458,892/633,270.96 = 257,688/x
  3. Step 3: Cross multiply
    458,892x = 633,270.96 × 257,688
  4. Step 4: Simplify right side
    458,892x = 163,186,327,140.48
  5. Step 5: Solve for x
    x = 163,186,327,140.48/458,892
  6. Step 6: Final answer
    x = 355,609.44

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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.