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Finding the Fourth Proportional to 404,784.36, 607,070.52 and 120,398.42

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Solution

The fourth proportional to 404,784.36, 607,070.52 and 120,398.42 is: 180,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,784.36 : 607,070.52 = 120,398.42 : x
  2. Step 2: Convert to fraction form
    404,784.36/607,070.52 = 120,398.42/x
  3. Step 3: Cross multiply
    404,784.36x = 607,070.52 × 120,398.42
  4. Step 4: Simplify right side
    404,784.36x = 73,090,332,954.25
  5. Step 5: Solve for x
    x = 73,090,332,954.25/404,784.36
  6. Step 6: Final answer
    x = 180,566.10

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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.