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Finding the Fourth Proportional to 531,158.52, 732,980.16 and 298,578.36

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Solution

The fourth proportional to 531,158.52, 732,980.16 and 298,578.36 is: 412,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,158.52 : 732,980.16 = 298,578.36 : x
  2. Step 2: Convert to fraction form
    531,158.52/732,980.16 = 298,578.36/x
  3. Step 3: Cross multiply
    531,158.52x = 732,980.16 × 298,578.36
  4. Step 4: Simplify right side
    531,158.52x = 218,852,014,085.34
  5. Step 5: Solve for x
    x = 218,852,014,085.34/531,158.52
  6. Step 6: Final answer
    x = 412,027.68

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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.