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Finding the Fourth Proportional to 471,547.36, 707,328.42 and 262,513.84

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Solution

The fourth proportional to 471,547.36, 707,328.42 and 262,513.84 is: 393,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,547.36 : 707,328.42 = 262,513.84 : x
  2. Step 2: Convert to fraction form
    471,547.36/707,328.42 = 262,513.84/x
  3. Step 3: Cross multiply
    471,547.36x = 707,328.42 × 262,513.84
  4. Step 4: Simplify right side
    471,547.36x = 185,683,499,675.33
  5. Step 5: Solve for x
    x = 185,683,499,675.33/471,547.36
  6. Step 6: Final answer
    x = 393,774.87

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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.