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Finding the Fourth Proportional to 434,874, 600,127.20 and 253,710.48

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Solution

The fourth proportional to 434,874, 600,127.20 and 253,710.48 is: 350,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,874 : 600,127.20 = 253,710.48 : x
  2. Step 2: Convert to fraction form
    434,874/600,127.20 = 253,710.48/x
  3. Step 3: Cross multiply
    434,874x = 600,127.20 × 253,710.48
  4. Step 4: Simplify right side
    434,874x = 152,258,559,973.06
  5. Step 5: Solve for x
    x = 152,258,559,973.06/434,874
  6. Step 6: Final answer
    x = 350,121.09

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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.