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Finding the Fourth Proportional to 507,208.68, 700,677.05 and 405,100.08

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Solution

The fourth proportional to 507,208.68, 700,677.05 and 405,100.08 is: 559,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,208.68 : 700,677.05 = 405,100.08 : x
  2. Step 2: Convert to fraction form
    507,208.68/700,677.05 = 405,100.08/x
  3. Step 3: Cross multiply
    507,208.68x = 700,677.05 × 405,100.08
  4. Step 4: Simplify right side
    507,208.68x = 283,844,329,009.16
  5. Step 5: Solve for x
    x = 283,844,329,009.16/507,208.68
  6. Step 6: Final answer
    x = 559,620.41

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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.