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Finding the Fourth Proportional to 461,630.25, 692,535.15 and 177,300

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Solution

The fourth proportional to 461,630.25, 692,535.15 and 177,300 is: 265,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,630.25 : 692,535.15 = 177,300 : x
  2. Step 2: Convert to fraction form
    461,630.25/692,535.15 = 177,300/x
  3. Step 3: Cross multiply
    461,630.25x = 692,535.15 × 177,300
  4. Step 4: Simplify right side
    461,630.25x = 122,786,482,095
  5. Step 5: Solve for x
    x = 122,786,482,095/461,630.25
  6. Step 6: Final answer
    x = 265,984.48

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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.