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Finding the Fourth Proportional to 650,838.88, 976,948.44 and 576,442

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Solution

The fourth proportional to 650,838.88, 976,948.44 and 576,442 is: 865,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,838.88 : 976,948.44 = 576,442 : x
  2. Step 2: Convert to fraction form
    650,838.88/976,948.44 = 576,442/x
  3. Step 3: Cross multiply
    650,838.88x = 976,948.44 × 576,442
  4. Step 4: Simplify right side
    650,838.88x = 563,154,112,650.48
  5. Step 5: Solve for x
    x = 563,154,112,650.48/650,838.88
  6. Step 6: Final answer
    x = 865,274.23

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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.