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Finding the Fourth Proportional to 562,649.48, 843,799.26 and 188,585

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Solution

The fourth proportional to 562,649.48, 843,799.26 and 188,585 is: 282,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,649.48 : 843,799.26 = 188,585 : x
  2. Step 2: Convert to fraction form
    562,649.48/843,799.26 = 188,585/x
  3. Step 3: Cross multiply
    562,649.48x = 843,799.26 × 188,585
  4. Step 4: Simplify right side
    562,649.48x = 159,127,883,447.10
  5. Step 5: Solve for x
    x = 159,127,883,447.10/562,649.48
  6. Step 6: Final answer
    x = 282,818.86

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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.