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Finding the Fourth Proportional to 416,066.60, 623,225.10 and 346,082.60

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Solution

The fourth proportional to 416,066.60, 623,225.10 and 346,082.60 is: 518,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,066.60 : 623,225.10 = 346,082.60 : x
  2. Step 2: Convert to fraction form
    416,066.60/623,225.10 = 346,082.60/x
  3. Step 3: Cross multiply
    416,066.60x = 623,225.10 × 346,082.60
  4. Step 4: Simplify right side
    416,066.60x = 215,687,362,993.26
  5. Step 5: Solve for x
    x = 215,687,362,993.26/416,066.60
  6. Step 6: Final answer
    x = 518,396.24

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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.