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Finding the Fourth Proportional to 617,856, 853,341.12 and 416,302.08

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Solution

The fourth proportional to 617,856, 853,341.12 and 416,302.08 is: 574,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,856 : 853,341.12 = 416,302.08 : x
  2. Step 2: Convert to fraction form
    617,856/853,341.12 = 416,302.08/x
  3. Step 3: Cross multiply
    617,856x = 853,341.12 × 416,302.08
  4. Step 4: Simplify right side
    617,856x = 355,247,683,205.53
  5. Step 5: Solve for x
    x = 355,247,683,205.53/617,856
  6. Step 6: Final answer
    x = 574,968.41

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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.