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Finding the Fourth Proportional to 602,207.80, 903,433.20 and 175,742.80

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Solution

The fourth proportional to 602,207.80, 903,433.20 and 175,742.80 is: 263,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,207.80 : 903,433.20 = 175,742.80 : x
  2. Step 2: Convert to fraction form
    602,207.80/903,433.20 = 175,742.80/x
  3. Step 3: Cross multiply
    602,207.80x = 903,433.20 × 175,742.80
  4. Step 4: Simplify right side
    602,207.80x = 158,771,880,180.96
  5. Step 5: Solve for x
    x = 158,771,880,180.96/602,207.80
  6. Step 6: Final answer
    x = 263,649.66

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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.