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Finding the Fourth Proportional to 424,368, 585,627.84 and 233,393.76

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Solution

The fourth proportional to 424,368, 585,627.84 and 233,393.76 is: 322,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,368 : 585,627.84 = 233,393.76 : x
  2. Step 2: Convert to fraction form
    424,368/585,627.84 = 233,393.76/x
  3. Step 3: Cross multiply
    424,368x = 585,627.84 × 233,393.76
  4. Step 4: Simplify right side
    424,368x = 136,681,883,538.28
  5. Step 5: Solve for x
    x = 136,681,883,538.28/424,368
  6. Step 6: Final answer
    x = 322,083.39

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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.