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Finding the Fourth Proportional to 286,401.60, 429,569.48 and 76,056

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Solution

The fourth proportional to 286,401.60, 429,569.48 and 76,056 is: 114,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,401.60 : 429,569.48 = 76,056 : x
  2. Step 2: Convert to fraction form
    286,401.60/429,569.48 = 76,056/x
  3. Step 3: Cross multiply
    286,401.60x = 429,569.48 × 76,056
  4. Step 4: Simplify right side
    286,401.60x = 32,671,336,370.88
  5. Step 5: Solve for x
    x = 32,671,336,370.88/286,401.60
  6. Step 6: Final answer
    x = 114,075.26

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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.