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Finding the Fourth Proportional to 534,611.40, 802,694.70 and 402,419.40

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Solution

The fourth proportional to 534,611.40, 802,694.70 and 402,419.40 is: 604,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,611.40 : 802,694.70 = 402,419.40 : x
  2. Step 2: Convert to fraction form
    534,611.40/802,694.70 = 402,419.40/x
  3. Step 3: Cross multiply
    534,611.40x = 802,694.70 × 402,419.40
  4. Step 4: Simplify right side
    534,611.40x = 323,019,919,557.18
  5. Step 5: Solve for x
    x = 323,019,919,557.18/534,611.40
  6. Step 6: Final answer
    x = 604,214.42

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1.5x scale

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.