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Finding the Fourth Proportional to 402,820.34, 555,894.08 and 221,543.85

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Solution

The fourth proportional to 402,820.34, 555,894.08 and 221,543.85 is: 305,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,820.34 : 555,894.08 = 221,543.85 : x
  2. Step 2: Convert to fraction form
    402,820.34/555,894.08 = 221,543.85/x
  3. Step 3: Cross multiply
    402,820.34x = 555,894.08 × 221,543.85
  4. Step 4: Simplify right side
    402,820.34x = 123,154,916,483.08
  5. Step 5: Solve for x
    x = 123,154,916,483.08/402,820.34
  6. Step 6: Final answer
    x = 305,731.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.