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Finding the Fourth Proportional to 478,095.64, 718,367.47 and 360,871

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Solution

The fourth proportional to 478,095.64, 718,367.47 and 360,871 is: 542,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,095.64 : 718,367.47 = 360,871 : x
  2. Step 2: Convert to fraction form
    478,095.64/718,367.47 = 360,871/x
  3. Step 3: Cross multiply
    478,095.64x = 718,367.47 × 360,871
  4. Step 4: Simplify right side
    478,095.64x = 259,237,987,266.37
  5. Step 5: Solve for x
    x = 259,237,987,266.37/478,095.64
  6. Step 6: Final answer
    x = 542,230.39

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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.