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Finding the Fourth Proportional to 610,256.16, 842,203.23 and 338,409.30

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Solution

The fourth proportional to 610,256.16, 842,203.23 and 338,409.30 is: 467,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,256.16 : 842,203.23 = 338,409.30 : x
  2. Step 2: Convert to fraction form
    610,256.16/842,203.23 = 338,409.30/x
  3. Step 3: Cross multiply
    610,256.16x = 842,203.23 × 338,409.30
  4. Step 4: Simplify right side
    610,256.16x = 285,009,405,522.04
  5. Step 5: Solve for x
    x = 285,009,405,522.04/610,256.16
  6. Step 6: Final answer
    x = 467,032.41

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1.5x scale

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.