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Finding the Fourth Proportional to 652,008.60, 978,012.90 and 463,051.80

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Solution

The fourth proportional to 652,008.60, 978,012.90 and 463,051.80 is: 694,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,008.60 : 978,012.90 = 463,051.80 : x
  2. Step 2: Convert to fraction form
    652,008.60/978,012.90 = 463,051.80/x
  3. Step 3: Cross multiply
    652,008.60x = 978,012.90 × 463,051.80
  4. Step 4: Simplify right side
    652,008.60x = 452,870,633,768.22
  5. Step 5: Solve for x
    x = 452,870,633,768.22/652,008.60
  6. Step 6: Final answer
    x = 694,577.70

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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.