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Finding the Fourth Proportional to 442,024.30, 663,036.45 and 146,536.30

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Solution

The fourth proportional to 442,024.30, 663,036.45 and 146,536.30 is: 219,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,024.30 : 663,036.45 = 146,536.30 : x
  2. Step 2: Convert to fraction form
    442,024.30/663,036.45 = 146,536.30/x
  3. Step 3: Cross multiply
    442,024.30x = 663,036.45 × 146,536.30
  4. Step 4: Simplify right side
    442,024.30x = 97,158,908,148.14
  5. Step 5: Solve for x
    x = 97,158,908,148.14/442,024.30
  6. Step 6: Final answer
    x = 219,804.45

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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.