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Finding the Fourth Proportional to 296,301.16, 408,569.70 and 188,750.44

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Solution

The fourth proportional to 296,301.16, 408,569.70 and 188,750.44 is: 260,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301.16 : 408,569.70 = 188,750.44 : x
  2. Step 2: Convert to fraction form
    296,301.16/408,569.70 = 188,750.44/x
  3. Step 3: Cross multiply
    296,301.16x = 408,569.70 × 188,750.44
  4. Step 4: Simplify right side
    296,301.16x = 77,117,710,645.67
  5. Step 5: Solve for x
    x = 77,117,710,645.67/296,301.16
  6. Step 6: Final answer
    x = 260,268.00

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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.