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Finding the Fourth Proportional to 512,455.60, 768,756.30 and 157,416.40

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Solution

The fourth proportional to 512,455.60, 768,756.30 and 157,416.40 is: 236,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,455.60 : 768,756.30 = 157,416.40 : x
  2. Step 2: Convert to fraction form
    512,455.60/768,756.30 = 157,416.40/x
  3. Step 3: Cross multiply
    512,455.60x = 768,756.30 × 157,416.40
  4. Step 4: Simplify right side
    512,455.60x = 121,014,849,223.32
  5. Step 5: Solve for x
    x = 121,014,849,223.32/512,455.60
  6. Step 6: Final answer
    x = 236,146.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.