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Finding the Fourth Proportional to 353,712.94, 488,448.07 and 224,693

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Solution

The fourth proportional to 353,712.94, 488,448.07 and 224,693 is: 310,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,712.94 : 488,448.07 = 224,693 : x
  2. Step 2: Convert to fraction form
    353,712.94/488,448.07 = 224,693/x
  3. Step 3: Cross multiply
    353,712.94x = 488,448.07 × 224,693
  4. Step 4: Simplify right side
    353,712.94x = 109,750,862,192.51
  5. Step 5: Solve for x
    x = 109,750,862,192.51/353,712.94
  6. Step 6: Final answer
    x = 310,282.29

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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.