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Finding the Fourth Proportional to 585,063.20, 877,594.80 and 385,608.80

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Solution

The fourth proportional to 585,063.20, 877,594.80 and 385,608.80 is: 578,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,063.20 : 877,594.80 = 385,608.80 : x
  2. Step 2: Convert to fraction form
    585,063.20/877,594.80 = 385,608.80/x
  3. Step 3: Cross multiply
    585,063.20x = 877,594.80 × 385,608.80
  4. Step 4: Simplify right side
    585,063.20x = 338,408,277,714.24
  5. Step 5: Solve for x
    x = 338,408,277,714.24/585,063.20
  6. Step 6: Final answer
    x = 578,413.20

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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.