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Finding the Fourth Proportional to 208,602.44, 312,903.04 and 180,438.74

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Solution

The fourth proportional to 208,602.44, 312,903.04 and 180,438.74 is: 270,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602.44 : 312,903.04 = 180,438.74 : x
  2. Step 2: Convert to fraction form
    208,602.44/312,903.04 = 180,438.74/x
  3. Step 3: Cross multiply
    208,602.44x = 312,903.04 × 180,438.74
  4. Step 4: Simplify right side
    208,602.44x = 56,459,830,279.77
  5. Step 5: Solve for x
    x = 56,459,830,279.77/208,602.44
  6. Step 6: Final answer
    x = 270,657.57

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1.5x scale

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.