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Finding the Fourth Proportional to 471,088.50, 706,322.67 and 310,675.34

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Solution

The fourth proportional to 471,088.50, 706,322.67 and 310,675.34 is: 465,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,088.50 : 706,322.67 = 310,675.34 : x
  2. Step 2: Convert to fraction form
    471,088.50/706,322.67 = 310,675.34/x
  3. Step 3: Cross multiply
    471,088.50x = 706,322.67 × 310,675.34
  4. Step 4: Simplify right side
    471,088.50x = 219,437,032,120.34
  5. Step 5: Solve for x
    x = 219,437,032,120.34/471,088.50
  6. Step 6: Final answer
    x = 465,808.51

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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.