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Finding the Fourth Proportional to 411,970.40, 616,643.40 and 293,872.40

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Solution

The fourth proportional to 411,970.40, 616,643.40 and 293,872.40 is: 439,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,970.40 : 616,643.40 = 293,872.40 : x
  2. Step 2: Convert to fraction form
    411,970.40/616,643.40 = 293,872.40/x
  3. Step 3: Cross multiply
    411,970.40x = 616,643.40 × 293,872.40
  4. Step 4: Simplify right side
    411,970.40x = 181,214,475,902.16
  5. Step 5: Solve for x
    x = 181,214,475,902.16/411,970.40
  6. Step 6: Final answer
    x = 439,872.56

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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.