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Finding the Fourth Proportional to 411,473.48, 616,575.18 and 277,829.96

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Solution

The fourth proportional to 411,473.48, 616,575.18 and 277,829.96 is: 416,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,473.48 : 616,575.18 = 277,829.96 : x
  2. Step 2: Convert to fraction form
    411,473.48/616,575.18 = 277,829.96/x
  3. Step 3: Cross multiply
    411,473.48x = 616,575.18 × 277,829.96
  4. Step 4: Simplify right side
    411,473.48x = 171,303,057,596.39
  5. Step 5: Solve for x
    x = 171,303,057,596.39/411,473.48
  6. Step 6: Final answer
    x = 416,316.16

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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.