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Finding the Fourth Proportional to 534,814.40, 802,221.60 and 415,841.60

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Solution

The fourth proportional to 534,814.40, 802,221.60 and 415,841.60 is: 623,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,814.40 : 802,221.60 = 415,841.60 : x
  2. Step 2: Convert to fraction form
    534,814.40/802,221.60 = 415,841.60/x
  3. Step 3: Cross multiply
    534,814.40x = 802,221.60 × 415,841.60
  4. Step 4: Simplify right side
    534,814.40x = 333,597,113,698.56
  5. Step 5: Solve for x
    x = 333,597,113,698.56/534,814.40
  6. Step 6: Final answer
    x = 623,762.40

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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.