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Finding the Fourth Proportional to 546,842.60, 821,819.10 and 478,413.80

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Solution

The fourth proportional to 546,842.60, 821,819.10 and 478,413.80 is: 718,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,842.60 : 821,819.10 = 478,413.80 : x
  2. Step 2: Convert to fraction form
    546,842.60/821,819.10 = 478,413.80/x
  3. Step 3: Cross multiply
    546,842.60x = 821,819.10 × 478,413.80
  4. Step 4: Simplify right side
    546,842.60x = 393,169,598,543.58
  5. Step 5: Solve for x
    x = 393,169,598,543.58/546,842.60
  6. Step 6: Final answer
    x = 718,981.29

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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.