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Finding the Fourth Proportional to 460,970.33, 636,092.56 and 257,002.07

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Solution

The fourth proportional to 460,970.33, 636,092.56 and 257,002.07 is: 354,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,970.33 : 636,092.56 = 257,002.07 : x
  2. Step 2: Convert to fraction form
    460,970.33/636,092.56 = 257,002.07/x
  3. Step 3: Cross multiply
    460,970.33x = 636,092.56 × 257,002.07
  4. Step 4: Simplify right side
    460,970.33x = 163,477,101,772.39
  5. Step 5: Solve for x
    x = 163,477,101,772.39/460,970.33
  6. Step 6: Final answer
    x = 354,636.93

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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.