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Finding the Fourth Proportional to 569,929.60, 854,894.40 and 214,955.20

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Solution

The fourth proportional to 569,929.60, 854,894.40 and 214,955.20 is: 322,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,929.60 : 854,894.40 = 214,955.20 : x
  2. Step 2: Convert to fraction form
    569,929.60/854,894.40 = 214,955.20/x
  3. Step 3: Cross multiply
    569,929.60x = 854,894.40 × 214,955.20
  4. Step 4: Simplify right side
    569,929.60x = 183,763,996,730.88
  5. Step 5: Solve for x
    x = 183,763,996,730.88/569,929.60
  6. Step 6: Final answer
    x = 322,432.80

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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.