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Finding the Fourth Proportional to 314,234.16, 433,649.88 and 180,098.16

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Solution

The fourth proportional to 314,234.16, 433,649.88 and 180,098.16 is: 248,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,234.16 : 433,649.88 = 180,098.16 : x
  2. Step 2: Convert to fraction form
    314,234.16/433,649.88 = 180,098.16/x
  3. Step 3: Cross multiply
    314,234.16x = 433,649.88 × 180,098.16
  4. Step 4: Simplify right side
    314,234.16x = 78,099,545,472.22
  5. Step 5: Solve for x
    x = 78,099,545,472.22/314,234.16
  6. Step 6: Final answer
    x = 248,539.32

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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.