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Finding the Fourth Proportional to 534,730.40, 802,095.60 and 415,757.60

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Solution

The fourth proportional to 534,730.40, 802,095.60 and 415,757.60 is: 623,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,730.40 : 802,095.60 = 415,757.60 : x
  2. Step 2: Convert to fraction form
    534,730.40/802,095.60 = 415,757.60/x
  3. Step 3: Cross multiply
    534,730.40x = 802,095.60 × 415,757.60
  4. Step 4: Simplify right side
    534,730.40x = 333,477,341,626.56
  5. Step 5: Solve for x
    x = 333,477,341,626.56/534,730.40
  6. Step 6: Final answer
    x = 623,636.40

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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.