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Finding the Fourth Proportional to 320,460, 480,696.48 and 98,844

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Solution

The fourth proportional to 320,460, 480,696.48 and 98,844 is: 148,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,460 : 480,696.48 = 98,844 : x
  2. Step 2: Convert to fraction form
    320,460/480,696.48 = 98,844/x
  3. Step 3: Cross multiply
    320,460x = 480,696.48 × 98,844
  4. Step 4: Simplify right side
    320,460x = 47,513,962,869.12
  5. Step 5: Solve for x
    x = 47,513,962,869.12/320,460
  6. Step 6: Final answer
    x = 148,268.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.