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Finding the Fourth Proportional to 601,028.14, 901,688.01 and 180,304.01

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Solution

The fourth proportional to 601,028.14, 901,688.01 and 180,304.01 is: 270,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,028.14 : 901,688.01 = 180,304.01 : x
  2. Step 2: Convert to fraction form
    601,028.14/901,688.01 = 180,304.01/x
  3. Step 3: Cross multiply
    601,028.14x = 901,688.01 × 180,304.01
  4. Step 4: Simplify right side
    601,028.14x = 162,577,963,070.40
  5. Step 5: Solve for x
    x = 162,577,963,070.40/601,028.14
  6. Step 6: Final answer
    x = 270,499.75

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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.