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Finding the Fourth Proportional to 415,345.60, 623,018.40 and 309,057.40

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Solution

The fourth proportional to 415,345.60, 623,018.40 and 309,057.40 is: 463,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,345.60 : 623,018.40 = 309,057.40 : x
  2. Step 2: Convert to fraction form
    415,345.60/623,018.40 = 309,057.40/x
  3. Step 3: Cross multiply
    415,345.60x = 623,018.40 × 309,057.40
  4. Step 4: Simplify right side
    415,345.60x = 192,548,446,856.16
  5. Step 5: Solve for x
    x = 192,548,446,856.16/415,345.60
  6. Step 6: Final answer
    x = 463,586.10

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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.