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Finding the Fourth Proportional to 1,497,964, 2,246,946 and 447,340

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Solution

The fourth proportional to 1,497,964, 2,246,946 and 447,340 is: 671,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,964 : 2,246,946 = 447,340 : x
  2. Step 2: Convert to fraction form
    1,497,964/2,246,946 = 447,340/x
  3. Step 3: Cross multiply
    1,497,964x = 2,246,946 × 447,340
  4. Step 4: Simplify right side
    1,497,964x = 1,005,148,823,640
  5. Step 5: Solve for x
    x = 1,005,148,823,640/1,497,964
  6. Step 6: Final answer
    x = 671,010

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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.