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Finding the Fourth Proportional to 435,064.80, 652,597.20 and 316,966.80

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Solution

The fourth proportional to 435,064.80, 652,597.20 and 316,966.80 is: 475,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,064.80 : 652,597.20 = 316,966.80 : x
  2. Step 2: Convert to fraction form
    435,064.80/652,597.20 = 316,966.80/x
  3. Step 3: Cross multiply
    435,064.80x = 652,597.20 × 316,966.80
  4. Step 4: Simplify right side
    435,064.80x = 206,851,646,172.96
  5. Step 5: Solve for x
    x = 206,851,646,172.96/435,064.80
  6. Step 6: Final answer
    x = 475,450.20

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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.