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Finding the Fourth Proportional to 509,084.08, 702,495.04 and 294,238.06

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Solution

The fourth proportional to 509,084.08, 702,495.04 and 294,238.06 is: 406,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,084.08 : 702,495.04 = 294,238.06 : x
  2. Step 2: Convert to fraction form
    509,084.08/702,495.04 = 294,238.06/x
  3. Step 3: Cross multiply
    509,084.08x = 702,495.04 × 294,238.06
  4. Step 4: Simplify right side
    509,084.08x = 206,700,777,729.22
  5. Step 5: Solve for x
    x = 206,700,777,729.22/509,084.08
  6. Step 6: Final answer
    x = 406,024.83

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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.