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Finding the Fourth Proportional to 475,480.48, 708,969.80 and 462,416.80

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Solution

The fourth proportional to 475,480.48, 708,969.80 and 462,416.80 is: 689,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480.48 : 708,969.80 = 462,416.80 : x
  2. Step 2: Convert to fraction form
    475,480.48/708,969.80 = 462,416.80/x
  3. Step 3: Cross multiply
    475,480.48x = 708,969.80 × 462,416.80
  4. Step 4: Simplify right side
    475,480.48x = 327,839,546,212.64
  5. Step 5: Solve for x
    x = 327,839,546,212.64/475,480.48
  6. Step 6: Final answer
    x = 689,491.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.