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Finding the Fourth Proportional to 508,146, 701,191.08 and 293,355.36

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Solution

The fourth proportional to 508,146, 701,191.08 and 293,355.36 is: 404,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,146 : 701,191.08 = 293,355.36 : x
  2. Step 2: Convert to fraction form
    508,146/701,191.08 = 293,355.36/x
  3. Step 3: Cross multiply
    508,146x = 701,191.08 × 293,355.36
  4. Step 4: Simplify right side
    508,146x = 205,698,161,702.19
  5. Step 5: Solve for x
    x = 205,698,161,702.19/508,146
  6. Step 6: Final answer
    x = 404,801.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.