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Finding the Fourth Proportional to 430,832.60, 646,940.10 and 291,210.20

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Solution

The fourth proportional to 430,832.60, 646,940.10 and 291,210.20 is: 437,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,832.60 : 646,940.10 = 291,210.20 : x
  2. Step 2: Convert to fraction form
    430,832.60/646,940.10 = 291,210.20/x
  3. Step 3: Cross multiply
    430,832.60x = 646,940.10 × 291,210.20
  4. Step 4: Simplify right side
    430,832.60x = 188,395,555,909.02
  5. Step 5: Solve for x
    x = 188,395,555,909.02/430,832.60
  6. Step 6: Final answer
    x = 437,282.50

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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.