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Finding the Fourth Proportional to 316,148.76, 436,296.65 and 180,203.22

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Solution

The fourth proportional to 316,148.76, 436,296.65 and 180,203.22 is: 248,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,148.76 : 436,296.65 = 180,203.22 : x
  2. Step 2: Convert to fraction form
    316,148.76/436,296.65 = 180,203.22/x
  3. Step 3: Cross multiply
    316,148.76x = 436,296.65 × 180,203.22
  4. Step 4: Simplify right side
    316,148.76x = 78,622,060,304.20
  5. Step 5: Solve for x
    x = 78,622,060,304.20/316,148.76
  6. Step 6: Final answer
    x = 248,686.92

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1.5x scale

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.