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Finding the Fourth Proportional to 469,537.80, 704,306.70 and 137,113.80

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Solution

The fourth proportional to 469,537.80, 704,306.70 and 137,113.80 is: 205,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,537.80 : 704,306.70 = 137,113.80 : x
  2. Step 2: Convert to fraction form
    469,537.80/704,306.70 = 137,113.80/x
  3. Step 3: Cross multiply
    469,537.80x = 704,306.70 × 137,113.80
  4. Step 4: Simplify right side
    469,537.80x = 96,570,168,002.46
  5. Step 5: Solve for x
    x = 96,570,168,002.46/469,537.80
  6. Step 6: Final answer
    x = 205,670.70

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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.