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Finding the Fourth Proportional to 559,219.30, 771,695.14 and 317,470.14

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Solution

The fourth proportional to 559,219.30, 771,695.14 and 317,470.14 is: 438,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,219.30 : 771,695.14 = 317,470.14 : x
  2. Step 2: Convert to fraction form
    559,219.30/771,695.14 = 317,470.14/x
  3. Step 3: Cross multiply
    559,219.30x = 771,695.14 × 317,470.14
  4. Step 4: Simplify right side
    559,219.30x = 244,990,164,133.12
  5. Step 5: Solve for x
    x = 244,990,164,133.12/559,219.30
  6. Step 6: Final answer
    x = 438,093.18

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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.