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Finding the Fourth Proportional to 466,922.40, 701,039.70 and 289,775.40

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Solution

The fourth proportional to 466,922.40, 701,039.70 and 289,775.40 is: 435,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,922.40 : 701,039.70 = 289,775.40 : x
  2. Step 2: Convert to fraction form
    466,922.40/701,039.70 = 289,775.40/x
  3. Step 3: Cross multiply
    466,922.40x = 701,039.70 × 289,775.40
  4. Step 4: Simplify right side
    466,922.40x = 203,144,059,483.38
  5. Step 5: Solve for x
    x = 203,144,059,483.38/466,922.40
  6. Step 6: Final answer
    x = 435,070.28

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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.