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Finding the Fourth Proportional to 576,032.85, 862,802.55 and 417,912.75

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Solution

The fourth proportional to 576,032.85, 862,802.55 and 417,912.75 is: 625,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,032.85 : 862,802.55 = 417,912.75 : x
  2. Step 2: Convert to fraction form
    576,032.85/862,802.55 = 417,912.75/x
  3. Step 3: Cross multiply
    576,032.85x = 862,802.55 × 417,912.75
  4. Step 4: Simplify right side
    576,032.85x = 360,576,186,377.51
  5. Step 5: Solve for x
    x = 360,576,186,377.51/576,032.85
  6. Step 6: Final answer
    x = 625,964.62

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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.