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Finding the Fourth Proportional to 319,664.60, 478,652.10 and 256,189.40

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Solution

The fourth proportional to 319,664.60, 478,652.10 and 256,189.40 is: 383,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,664.60 : 478,652.10 = 256,189.40 : x
  2. Step 2: Convert to fraction form
    319,664.60/478,652.10 = 256,189.40/x
  3. Step 3: Cross multiply
    319,664.60x = 478,652.10 × 256,189.40
  4. Step 4: Simplify right side
    319,664.60x = 122,625,594,307.74
  5. Step 5: Solve for x
    x = 122,625,594,307.74/319,664.60
  6. Step 6: Final answer
    x = 383,607.05

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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.