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Finding the Fourth Proportional to 468,898.57, 702,502.21 and 288,670.33

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Solution

The fourth proportional to 468,898.57, 702,502.21 and 288,670.33 is: 432,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,898.57 : 702,502.21 = 288,670.33 : x
  2. Step 2: Convert to fraction form
    468,898.57/702,502.21 = 288,670.33/x
  3. Step 3: Cross multiply
    468,898.57x = 702,502.21 × 288,670.33
  4. Step 4: Simplify right side
    468,898.57x = 202,791,544,786.43
  5. Step 5: Solve for x
    x = 202,791,544,786.43/468,898.57
  6. Step 6: Final answer
    x = 432,484.89

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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.