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Finding the Fourth Proportional to 819,701.40, 1,229,552.10 and 465,407.40

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Solution

The fourth proportional to 819,701.40, 1,229,552.10 and 465,407.40 is: 698,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,701.40 : 1,229,552.10 = 465,407.40 : x
  2. Step 2: Convert to fraction form
    819,701.40/1,229,552.10 = 465,407.40/x
  3. Step 3: Cross multiply
    819,701.40x = 1,229,552.10 × 465,407.40
  4. Step 4: Simplify right side
    819,701.40x = 572,242,646,025.54
  5. Step 5: Solve for x
    x = 572,242,646,025.54/819,701.40
  6. Step 6: Final answer
    x = 698,111.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.