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Finding the Fourth Proportional to 466,820.40, 698,675.40 and 410,833.20

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Solution

The fourth proportional to 466,820.40, 698,675.40 and 410,833.20 is: 614,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,820.40 : 698,675.40 = 410,833.20 : x
  2. Step 2: Convert to fraction form
    466,820.40/698,675.40 = 410,833.20/x
  3. Step 3: Cross multiply
    466,820.40x = 698,675.40 × 410,833.20
  4. Step 4: Simplify right side
    466,820.40x = 287,039,050,343.28
  5. Step 5: Solve for x
    x = 287,039,050,343.28/466,820.40
  6. Step 6: Final answer
    x = 614,881.12

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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.