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Finding the Fourth Proportional to 319,293.60, 478,940.40 and 161,829.60

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Solution

The fourth proportional to 319,293.60, 478,940.40 and 161,829.60 is: 242,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,293.60 : 478,940.40 = 161,829.60 : x
  2. Step 2: Convert to fraction form
    319,293.60/478,940.40 = 161,829.60/x
  3. Step 3: Cross multiply
    319,293.60x = 478,940.40 × 161,829.60
  4. Step 4: Simplify right side
    319,293.60x = 77,506,733,355.84
  5. Step 5: Solve for x
    x = 77,506,733,355.84/319,293.60
  6. Step 6: Final answer
    x = 242,744.40

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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.