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Finding the Fourth Proportional to 610,410.09, 842,362.54 and 338,518.17

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Solution

The fourth proportional to 610,410.09, 842,362.54 and 338,518.17 is: 467,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,410.09 : 842,362.54 = 338,518.17 : x
  2. Step 2: Convert to fraction form
    610,410.09/842,362.54 = 338,518.17/x
  3. Step 3: Cross multiply
    610,410.09x = 842,362.54 × 338,518.17
  4. Step 4: Simplify right side
    610,410.09x = 285,155,024,671.06
  5. Step 5: Solve for x
    x = 285,155,024,671.06/610,410.09
  6. Step 6: Final answer
    x = 467,153.19

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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.