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Finding the Fourth Proportional to 294,585.32, 406,530.48 and 167,263.64

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Solution

The fourth proportional to 294,585.32, 406,530.48 and 167,263.64 is: 230,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,585.32 : 406,530.48 = 167,263.64 : x
  2. Step 2: Convert to fraction form
    294,585.32/406,530.48 = 167,263.64/x
  3. Step 3: Cross multiply
    294,585.32x = 406,530.48 × 167,263.64
  4. Step 4: Simplify right side
    294,585.32x = 67,997,767,855.75
  5. Step 5: Solve for x
    x = 67,997,767,855.75/294,585.32
  6. Step 6: Final answer
    x = 230,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.