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Finding the Fourth Proportional to 284,580.64, 426,887.64 and 107,089.18

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Solution

The fourth proportional to 284,580.64, 426,887.64 and 107,089.18 is: 160,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,580.64 : 426,887.64 = 107,089.18 : x
  2. Step 2: Convert to fraction form
    284,580.64/426,887.64 = 107,089.18/x
  3. Step 3: Cross multiply
    284,580.64x = 426,887.64 × 107,089.18
  4. Step 4: Simplify right side
    284,580.64x = 45,715,047,319.74
  5. Step 5: Solve for x
    x = 45,715,047,319.74/284,580.64
  6. Step 6: Final answer
    x = 160,640.05

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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.