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Finding the Fourth Proportional to 473,042.21, 709,656.75 and 173,525.55

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Solution

The fourth proportional to 473,042.21, 709,656.75 and 173,525.55 is: 260,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,042.21 : 709,656.75 = 173,525.55 : x
  2. Step 2: Convert to fraction form
    473,042.21/709,656.75 = 173,525.55/x
  3. Step 3: Cross multiply
    473,042.21x = 709,656.75 × 173,525.55
  4. Step 4: Simplify right side
    473,042.21x = 123,143,577,854.96
  5. Step 5: Solve for x
    x = 123,143,577,854.96/473,042.21
  6. Step 6: Final answer
    x = 260,322.60

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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.