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Finding the Fourth Proportional to 411,975.40, 617,963.10 and 411,975.40

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Solution

The fourth proportional to 411,975.40, 617,963.10 and 411,975.40 is: 617,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,975.40 : 617,963.10 = 411,975.40 : x
  2. Step 2: Convert to fraction form
    411,975.40/617,963.10 = 411,975.40/x
  3. Step 3: Cross multiply
    411,975.40x = 617,963.10 × 411,975.40
  4. Step 4: Simplify right side
    411,975.40x = 254,585,595,307.74
  5. Step 5: Solve for x
    x = 254,585,595,307.74/411,975.40
  6. Step 6: Final answer
    x = 617,963.10

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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.