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Finding the Fourth Proportional to 344,712.66, 517,302.36 and 120,075.06

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Solution

The fourth proportional to 344,712.66, 517,302.36 and 120,075.06 is: 180,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,712.66 : 517,302.36 = 120,075.06 : x
  2. Step 2: Convert to fraction form
    344,712.66/517,302.36 = 120,075.06/x
  3. Step 3: Cross multiply
    344,712.66x = 517,302.36 × 120,075.06
  4. Step 4: Simplify right side
    344,712.66x = 62,115,111,915.14
  5. Step 5: Solve for x
    x = 62,115,111,915.14/344,712.66
  6. Step 6: Final answer
    x = 180,193.88

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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.