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Finding the Fourth Proportional to 522,548.51, 783,634.61 and 180,899.01

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Solution

The fourth proportional to 522,548.51, 783,634.61 and 180,899.01 is: 271,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,548.51 : 783,634.61 = 180,899.01 : x
  2. Step 2: Convert to fraction form
    522,548.51/783,634.61 = 180,899.01/x
  3. Step 3: Cross multiply
    522,548.51x = 783,634.61 × 180,899.01
  4. Step 4: Simplify right side
    522,548.51x = 141,758,725,602.98
  5. Step 5: Solve for x
    x = 141,758,725,602.98/522,548.51
  6. Step 6: Final answer
    x = 271,283.38

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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.