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Finding the Fourth Proportional to 525,706.56, 725,222.16 and 344,340

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Solution

The fourth proportional to 525,706.56, 725,222.16 and 344,340 is: 475,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,706.56 : 725,222.16 = 344,340 : x
  2. Step 2: Convert to fraction form
    525,706.56/725,222.16 = 344,340/x
  3. Step 3: Cross multiply
    525,706.56x = 725,222.16 × 344,340
  4. Step 4: Simplify right side
    525,706.56x = 249,722,998,574.40
  5. Step 5: Solve for x
    x = 249,722,998,574.40/525,706.56
  6. Step 6: Final answer
    x = 475,023.55

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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.