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Finding the Fourth Proportional to 508,595.88, 701,838.66 and 282,239.40

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Solution

The fourth proportional to 508,595.88, 701,838.66 and 282,239.40 is: 389,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,595.88 : 701,838.66 = 282,239.40 : x
  2. Step 2: Convert to fraction form
    508,595.88/701,838.66 = 282,239.40/x
  3. Step 3: Cross multiply
    508,595.88x = 701,838.66 × 282,239.40
  4. Step 4: Simplify right side
    508,595.88x = 198,086,522,295.20
  5. Step 5: Solve for x
    x = 198,086,522,295.20/508,595.88
  6. Step 6: Final answer
    x = 389,477.25

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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.