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Finding the Fourth Proportional to 1,101,017, 1,651,802.94 and 313,049

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Solution

The fourth proportional to 1,101,017, 1,651,802.94 and 313,049 is: 469,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,017 : 1,651,802.94 = 313,049 : x
  2. Step 2: Convert to fraction form
    1,101,017/1,651,802.94 = 313,049/x
  3. Step 3: Cross multiply
    1,101,017x = 1,651,802.94 × 313,049
  4. Step 4: Simplify right side
    1,101,017x = 517,095,258,564.06
  5. Step 5: Solve for x
    x = 517,095,258,564.06/1,101,017
  6. Step 6: Final answer
    x = 469,652.38

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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.