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Finding the Fourth Proportional to 525,702.56, 725,216.64 and 344,336

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Solution

The fourth proportional to 525,702.56, 725,216.64 and 344,336 is: 475,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,702.56 : 725,216.64 = 344,336 : x
  2. Step 2: Convert to fraction form
    525,702.56/725,216.64 = 344,336/x
  3. Step 3: Cross multiply
    525,702.56x = 725,216.64 × 344,336
  4. Step 4: Simplify right side
    525,702.56x = 249,718,196,951.04
  5. Step 5: Solve for x
    x = 249,718,196,951.04/525,702.56
  6. Step 6: Final answer
    x = 475,018.03

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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.