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Finding the Fourth Proportional to 654,414.30, 916,802.10 and 654,414.30

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Solution

The fourth proportional to 654,414.30, 916,802.10 and 654,414.30 is: 916,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,414.30 : 916,802.10 = 654,414.30 : x
  2. Step 2: Convert to fraction form
    654,414.30/916,802.10 = 654,414.30/x
  3. Step 3: Cross multiply
    654,414.30x = 916,802.10 × 654,414.30
  4. Step 4: Simplify right side
    654,414.30x = 599,968,404,510.03
  5. Step 5: Solve for x
    x = 599,968,404,510.03/654,414.30
  6. Step 6: Final answer
    x = 916,802.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.