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Finding the Fourth Proportional to 528,270.35, 728,968.68 and 298,815.77

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Solution

The fourth proportional to 528,270.35, 728,968.68 and 298,815.77 is: 412,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,270.35 : 728,968.68 = 298,815.77 : x
  2. Step 2: Convert to fraction form
    528,270.35/728,968.68 = 298,815.77/x
  3. Step 3: Cross multiply
    528,270.35x = 728,968.68 × 298,815.77
  4. Step 4: Simplify right side
    528,270.35x = 217,827,339,242.51
  5. Step 5: Solve for x
    x = 217,827,339,242.51/528,270.35
  6. Step 6: Final answer
    x = 412,340.65

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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.