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Finding the Fourth Proportional to 702,541, 1,053,811.50 and 259,309

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Solution

The fourth proportional to 702,541, 1,053,811.50 and 259,309 is: 388,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,541 : 1,053,811.50 = 259,309 : x
  2. Step 2: Convert to fraction form
    702,541/1,053,811.50 = 259,309/x
  3. Step 3: Cross multiply
    702,541x = 1,053,811.50 × 259,309
  4. Step 4: Simplify right side
    702,541x = 273,262,806,253.50
  5. Step 5: Solve for x
    x = 273,262,806,253.50/702,541
  6. Step 6: Final answer
    x = 388,963.50

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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.