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Finding the Fourth Proportional to 296,898.64, 445,345.32 and 107,287.22

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Solution

The fourth proportional to 296,898.64, 445,345.32 and 107,287.22 is: 160,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,898.64 : 445,345.32 = 107,287.22 : x
  2. Step 2: Convert to fraction form
    296,898.64/445,345.32 = 107,287.22/x
  3. Step 3: Cross multiply
    296,898.64x = 445,345.32 × 107,287.22
  4. Step 4: Simplify right side
    296,898.64x = 47,779,861,322.81
  5. Step 5: Solve for x
    x = 47,779,861,322.81/296,898.64
  6. Step 6: Final answer
    x = 160,929.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.