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Finding the Fourth Proportional to 295,008.32, 407,142.84 and 180,354.08

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Solution

The fourth proportional to 295,008.32, 407,142.84 and 180,354.08 is: 248,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,008.32 : 407,142.84 = 180,354.08 : x
  2. Step 2: Convert to fraction form
    295,008.32/407,142.84 = 180,354.08/x
  3. Step 3: Cross multiply
    295,008.32x = 407,142.84 × 180,354.08
  4. Step 4: Simplify right side
    295,008.32x = 73,429,872,336.79
  5. Step 5: Solve for x
    x = 73,429,872,336.79/295,008.32
  6. Step 6: Final answer
    x = 248,907.80

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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.