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Finding the Fourth Proportional to 464,511.10, 697,285.05 and 434,055.10

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Solution

The fourth proportional to 464,511.10, 697,285.05 and 434,055.10 is: 651,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,511.10 : 697,285.05 = 434,055.10 : x
  2. Step 2: Convert to fraction form
    464,511.10/697,285.05 = 434,055.10/x
  3. Step 3: Cross multiply
    464,511.10x = 697,285.05 × 434,055.10
  4. Step 4: Simplify right side
    464,511.10x = 302,660,132,106.26
  5. Step 5: Solve for x
    x = 302,660,132,106.26/464,511.10
  6. Step 6: Final answer
    x = 651,567.06

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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.