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Finding the Fourth Proportional to 464,065.08, 640,411.02 and 262,861.08

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Solution

The fourth proportional to 464,065.08, 640,411.02 and 262,861.08 is: 362,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,065.08 : 640,411.02 = 262,861.08 : x
  2. Step 2: Convert to fraction form
    464,065.08/640,411.02 = 262,861.08/x
  3. Step 3: Cross multiply
    464,065.08x = 640,411.02 × 262,861.08
  4. Step 4: Simplify right side
    464,065.08x = 168,339,132,361.10
  5. Step 5: Solve for x
    x = 168,339,132,361.10/464,065.08
  6. Step 6: Final answer
    x = 362,748.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.