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Finding the Fourth Proportional to 516,354.84, 712,492.38 and 289,956.60

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Solution

The fourth proportional to 516,354.84, 712,492.38 and 289,956.60 is: 400,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,354.84 : 712,492.38 = 289,956.60 : x
  2. Step 2: Convert to fraction form
    516,354.84/712,492.38 = 289,956.60/x
  3. Step 3: Cross multiply
    516,354.84x = 712,492.38 × 289,956.60
  4. Step 4: Simplify right side
    516,354.84x = 206,591,868,030.71
  5. Step 5: Solve for x
    x = 206,591,868,030.71/516,354.84
  6. Step 6: Final answer
    x = 400,096.70

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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.