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Finding the Fourth Proportional to 614,678.64, 847,940.24 and 410,664.32

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Solution

The fourth proportional to 614,678.64, 847,940.24 and 410,664.32 is: 566,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,678.64 : 847,940.24 = 410,664.32 : x
  2. Step 2: Convert to fraction form
    614,678.64/847,940.24 = 410,664.32/x
  3. Step 3: Cross multiply
    614,678.64x = 847,940.24 × 410,664.32
  4. Step 4: Simplify right side
    614,678.64x = 348,218,802,060.24
  5. Step 5: Solve for x
    x = 348,218,802,060.24/614,678.64
  6. Step 6: Final answer
    x = 566,505.45

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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.