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Finding the Fourth Proportional to 434,465.40, 651,698.10 and 285,166.20

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Solution

The fourth proportional to 434,465.40, 651,698.10 and 285,166.20 is: 427,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,465.40 : 651,698.10 = 285,166.20 : x
  2. Step 2: Convert to fraction form
    434,465.40/651,698.10 = 285,166.20/x
  3. Step 3: Cross multiply
    434,465.40x = 651,698.10 × 285,166.20
  4. Step 4: Simplify right side
    434,465.40x = 185,842,270,724.22
  5. Step 5: Solve for x
    x = 185,842,270,724.22/434,465.40
  6. Step 6: Final answer
    x = 427,749.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.