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Finding the Fourth Proportional to 469,706.38, 704,686.61 and 334,940.65

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Solution

The fourth proportional to 469,706.38, 704,686.61 and 334,940.65 is: 502,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706.38 : 704,686.61 = 334,940.65 : x
  2. Step 2: Convert to fraction form
    469,706.38/704,686.61 = 334,940.65/x
  3. Step 3: Cross multiply
    469,706.38x = 704,686.61 × 334,940.65
  4. Step 4: Simplify right side
    469,706.38x = 236,028,191,199.70
  5. Step 5: Solve for x
    x = 236,028,191,199.70/469,706.38
  6. Step 6: Final answer
    x = 502,501.57

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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.