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Finding the Fourth Proportional to 288,428.84, 432,914.63 and 146,376.08

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Solution

The fourth proportional to 288,428.84, 432,914.63 and 146,376.08 is: 219,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,428.84 : 432,914.63 = 146,376.08 : x
  2. Step 2: Convert to fraction form
    288,428.84/432,914.63 = 146,376.08/x
  3. Step 3: Cross multiply
    288,428.84x = 432,914.63 × 146,376.08
  4. Step 4: Simplify right side
    288,428.84x = 63,368,346,514.05
  5. Step 5: Solve for x
    x = 63,368,346,514.05/288,428.84
  6. Step 6: Final answer
    x = 219,701.84

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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.