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Finding the Fourth Proportional to 401,075.01, 601,623.05 and 116,754.08

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Solution

The fourth proportional to 401,075.01, 601,623.05 and 116,754.08 is: 175,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,075.01 : 601,623.05 = 116,754.08 : x
  2. Step 2: Convert to fraction form
    401,075.01/601,623.05 = 116,754.08/x
  3. Step 3: Cross multiply
    401,075.01x = 601,623.05 × 116,754.08
  4. Step 4: Simplify right side
    401,075.01x = 70,241,942,117.66
  5. Step 5: Solve for x
    x = 70,241,942,117.66/401,075.01
  6. Step 6: Final answer
    x = 175,134.18

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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.