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Finding the Fourth Proportional to 465,518.10, 698,277.15 and 229,322.10

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Solution

The fourth proportional to 465,518.10, 698,277.15 and 229,322.10 is: 343,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,518.10 : 698,277.15 = 229,322.10 : x
  2. Step 2: Convert to fraction form
    465,518.10/698,277.15 = 229,322.10/x
  3. Step 3: Cross multiply
    465,518.10x = 698,277.15 × 229,322.10
  4. Step 4: Simplify right side
    465,518.10x = 160,130,382,420.02
  5. Step 5: Solve for x
    x = 160,130,382,420.02/465,518.10
  6. Step 6: Final answer
    x = 343,983.15

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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.