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Finding the Fourth Proportional to 464,911.10, 697,038.60 and 212,312.60

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Solution

The fourth proportional to 464,911.10, 697,038.60 and 212,312.60 is: 318,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,911.10 : 697,038.60 = 212,312.60 : x
  2. Step 2: Convert to fraction form
    464,911.10/697,038.60 = 212,312.60/x
  3. Step 3: Cross multiply
    464,911.10x = 697,038.60 × 212,312.60
  4. Step 4: Simplify right side
    464,911.10x = 147,990,077,466.36
  5. Step 5: Solve for x
    x = 147,990,077,466.36/464,911.10
  6. Step 6: Final answer
    x = 318,319.09

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Why These Related Problems?

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