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Finding the Fourth Proportional to 447,307.85, 617,657.40 and 414,853.53

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Solution

The fourth proportional to 447,307.85, 617,657.40 and 414,853.53 is: 572,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,307.85 : 617,657.40 = 414,853.53 : x
  2. Step 2: Convert to fraction form
    447,307.85/617,657.40 = 414,853.53/x
  3. Step 3: Cross multiply
    447,307.85x = 617,657.40 × 414,853.53
  4. Step 4: Simplify right side
    447,307.85x = 256,237,352,720.62
  5. Step 5: Solve for x
    x = 256,237,352,720.62/447,307.85
  6. Step 6: Final answer
    x = 572,843.41

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1.5x scale

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.