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Finding the Fourth Proportional to 474,457.44, 711,927.52 and 208,148.88

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Solution

The fourth proportional to 474,457.44, 711,927.52 and 208,148.88 is: 312,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,457.44 : 711,927.52 = 208,148.88 : x
  2. Step 2: Convert to fraction form
    474,457.44/711,927.52 = 208,148.88/x
  3. Step 3: Cross multiply
    474,457.44x = 711,927.52 × 208,148.88
  4. Step 4: Simplify right side
    474,457.44x = 148,186,915,929.18
  5. Step 5: Solve for x
    x = 148,186,915,929.18/474,457.44
  6. Step 6: Final answer
    x = 312,329.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.