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Finding the Fourth Proportional to 510,419.60, 765,740.08 and 155,424.32

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Solution

The fourth proportional to 510,419.60, 765,740.08 and 155,424.32 is: 233,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,419.60 : 765,740.08 = 155,424.32 : x
  2. Step 2: Convert to fraction form
    510,419.60/765,740.08 = 155,424.32/x
  3. Step 3: Cross multiply
    510,419.60x = 765,740.08 × 155,424.32
  4. Step 4: Simplify right side
    510,419.60x = 119,014,631,230.75
  5. Step 5: Solve for x
    x = 119,014,631,230.75/510,419.60
  6. Step 6: Final answer
    x = 233,170.18

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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.