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Finding the Fourth Proportional to 411,072.48, 616,188.54 and 233,203.80

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Solution

The fourth proportional to 411,072.48, 616,188.54 and 233,203.80 is: 349,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,072.48 : 616,188.54 = 233,203.80 : x
  2. Step 2: Convert to fraction form
    411,072.48/616,188.54 = 233,203.80/x
  3. Step 3: Cross multiply
    411,072.48x = 616,188.54 × 233,203.80
  4. Step 4: Simplify right side
    411,072.48x = 143,697,509,044.45
  5. Step 5: Solve for x
    x = 143,697,509,044.45/411,072.48
  6. Step 6: Final answer
    x = 349,567.33

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1.5x scale

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.