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Finding the Fourth Proportional to 295,464.51, 443,335.17 and 145,623.12

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Solution

The fourth proportional to 295,464.51, 443,335.17 and 145,623.12 is: 218,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,464.51 : 443,335.17 = 145,623.12 : x
  2. Step 2: Convert to fraction form
    295,464.51/443,335.17 = 145,623.12/x
  3. Step 3: Cross multiply
    295,464.51x = 443,335.17 × 145,623.12
  4. Step 4: Simplify right side
    295,464.51x = 64,559,850,661.13
  5. Step 5: Solve for x
    x = 64,559,850,661.13/295,464.51
  6. Step 6: Final answer
    x = 218,502.89

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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.