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Finding the Fourth Proportional to 411,887.60, 617,831.40 and 253,602.80

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Solution

The fourth proportional to 411,887.60, 617,831.40 and 253,602.80 is: 380,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,887.60 : 617,831.40 = 253,602.80 : x
  2. Step 2: Convert to fraction form
    411,887.60/617,831.40 = 253,602.80/x
  3. Step 3: Cross multiply
    411,887.60x = 617,831.40 × 253,602.80
  4. Step 4: Simplify right side
    411,887.60x = 156,683,772,967.92
  5. Step 5: Solve for x
    x = 156,683,772,967.92/411,887.60
  6. Step 6: Final answer
    x = 380,404.20

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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.