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Finding the Fourth Proportional to 286,643.40, 429,965.10 and 73,410.90

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Solution

The fourth proportional to 286,643.40, 429,965.10 and 73,410.90 is: 110,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,643.40 : 429,965.10 = 73,410.90 : x
  2. Step 2: Convert to fraction form
    286,643.40/429,965.10 = 73,410.90/x
  3. Step 3: Cross multiply
    286,643.40x = 429,965.10 × 73,410.90
  4. Step 4: Simplify right side
    286,643.40x = 31,564,124,959.59
  5. Step 5: Solve for x
    x = 31,564,124,959.59/286,643.40
  6. Step 6: Final answer
    x = 110,116.35

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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.