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Finding the Fourth Proportional to 464,300.10, 696,450.15 and 464,300.10

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Solution

The fourth proportional to 464,300.10, 696,450.15 and 464,300.10 is: 696,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,300.10 : 696,450.15 = 464,300.10 : x
  2. Step 2: Convert to fraction form
    464,300.10/696,450.15 = 464,300.10/x
  3. Step 3: Cross multiply
    464,300.10x = 696,450.15 × 464,300.10
  4. Step 4: Simplify right side
    464,300.10x = 323,361,874,290.02
  5. Step 5: Solve for x
    x = 323,361,874,290.02/464,300.10
  6. Step 6: Final answer
    x = 696,450.15

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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.