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Finding the Fourth Proportional to 286,638.14, 429,966.93 and 76,276.28

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Solution

The fourth proportional to 286,638.14, 429,966.93 and 76,276.28 is: 114,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638.14 : 429,966.93 = 76,276.28 : x
  2. Step 2: Convert to fraction form
    286,638.14/429,966.93 = 76,276.28/x
  3. Step 3: Cross multiply
    286,638.14x = 429,966.93 × 76,276.28
  4. Step 4: Simplify right side
    286,638.14x = 32,796,279,304.37
  5. Step 5: Solve for x
    x = 32,796,279,304.37/286,638.14
  6. Step 6: Final answer
    x = 114,417.01

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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.