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Finding the Fourth Proportional to 430,847.60, 646,962.60 and 291,225.20

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Solution

The fourth proportional to 430,847.60, 646,962.60 and 291,225.20 is: 437,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,847.60 : 646,962.60 = 291,225.20 : x
  2. Step 2: Convert to fraction form
    430,847.60/646,962.60 = 291,225.20/x
  3. Step 3: Cross multiply
    430,847.60x = 646,962.60 × 291,225.20
  4. Step 4: Simplify right side
    430,847.60x = 188,411,812,577.52
  5. Step 5: Solve for x
    x = 188,411,812,577.52/430,847.60
  6. Step 6: Final answer
    x = 437,305.01

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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.