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Finding the Fourth Proportional to 508,894.90, 702,247.53 and 282,525.82

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Solution

The fourth proportional to 508,894.90, 702,247.53 and 282,525.82 is: 389,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,894.90 : 702,247.53 = 282,525.82 : x
  2. Step 2: Convert to fraction form
    508,894.90/702,247.53 = 282,525.82/x
  3. Step 3: Cross multiply
    508,894.90x = 702,247.53 × 282,525.82
  4. Step 4: Simplify right side
    508,894.90x = 198,403,059,256.23
  5. Step 5: Solve for x
    x = 198,403,059,256.23/508,894.90
  6. Step 6: Final answer
    x = 389,870.40

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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.