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Finding the Fourth Proportional to 286,402.60, 429,570.98 and 76,057

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Solution

The fourth proportional to 286,402.60, 429,570.98 and 76,057 is: 114,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,402.60 : 429,570.98 = 76,057 : x
  2. Step 2: Convert to fraction form
    286,402.60/429,570.98 = 76,057/x
  3. Step 3: Cross multiply
    286,402.60x = 429,570.98 × 76,057
  4. Step 4: Simplify right side
    286,402.60x = 32,671,880,025.86
  5. Step 5: Solve for x
    x = 32,671,880,025.86/286,402.60
  6. Step 6: Final answer
    x = 114,076.76

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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.