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Finding the Fourth Proportional to 284,501.94, 426,774.69 and 84,807.06

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Solution

The fourth proportional to 284,501.94, 426,774.69 and 84,807.06 is: 127,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,501.94 : 426,774.69 = 84,807.06 : x
  2. Step 2: Convert to fraction form
    284,501.94/426,774.69 = 84,807.06/x
  3. Step 3: Cross multiply
    284,501.94x = 426,774.69 × 84,807.06
  4. Step 4: Simplify right side
    284,501.94x = 36,193,506,741.31
  5. Step 5: Solve for x
    x = 36,193,506,741.31/284,501.94
  6. Step 6: Final answer
    x = 127,217.08

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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.