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Finding the Fourth Proportional to 509,204.63, 702,714.12 and 279,776.24

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Solution

The fourth proportional to 509,204.63, 702,714.12 and 279,776.24 is: 386,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,204.63 : 702,714.12 = 279,776.24 : x
  2. Step 2: Convert to fraction form
    509,204.63/702,714.12 = 279,776.24/x
  3. Step 3: Cross multiply
    509,204.63x = 702,714.12 × 279,776.24
  4. Step 4: Simplify right side
    509,204.63x = 196,602,710,774.94
  5. Step 5: Solve for x
    x = 196,602,710,774.94/509,204.63
  6. Step 6: Final answer
    x = 386,097.65

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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.