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Finding the Fourth Proportional to 501,533.64, 692,129.16 and 275,179.08

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Solution

The fourth proportional to 501,533.64, 692,129.16 and 275,179.08 is: 379,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,533.64 : 692,129.16 = 275,179.08 : x
  2. Step 2: Convert to fraction form
    501,533.64/692,129.16 = 275,179.08/x
  3. Step 3: Cross multiply
    501,533.64x = 692,129.16 × 275,179.08
  4. Step 4: Simplify right side
    501,533.64x = 190,459,465,489.97
  5. Step 5: Solve for x
    x = 190,459,465,489.97/501,533.64
  6. Step 6: Final answer
    x = 379,754.12

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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.