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Finding the Fourth Proportional to 509,299.91, 702,352.12 and 334,561.62

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Solution

The fourth proportional to 509,299.91, 702,352.12 and 334,561.62 is: 461,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,299.91 : 702,352.12 = 334,561.62 : x
  2. Step 2: Convert to fraction form
    509,299.91/702,352.12 = 334,561.62/x
  3. Step 3: Cross multiply
    509,299.91x = 702,352.12 × 334,561.62
  4. Step 4: Simplify right side
    509,299.91x = 234,980,063,077.63
  5. Step 5: Solve for x
    x = 234,980,063,077.63/509,299.91
  6. Step 6: Final answer
    x = 461,378.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.