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Finding the Fourth Proportional to 288,276.90, 432,426.28 and 77,914.92

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Solution

The fourth proportional to 288,276.90, 432,426.28 and 77,914.92 is: 116,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,276.90 : 432,426.28 = 77,914.92 : x
  2. Step 2: Convert to fraction form
    288,276.90/432,426.28 = 77,914.92/x
  3. Step 3: Cross multiply
    288,276.90x = 432,426.28 × 77,914.92
  4. Step 4: Simplify right side
    288,276.90x = 33,692,459,012.10
  5. Step 5: Solve for x
    x = 33,692,459,012.10/288,276.90
  6. Step 6: Final answer
    x = 116,875.33

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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.