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Finding the Fourth Proportional to 284,916.95, 427,376.14 and 116,437.25

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Solution

The fourth proportional to 284,916.95, 427,376.14 and 116,437.25 is: 174,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,916.95 : 427,376.14 = 116,437.25 : x
  2. Step 2: Convert to fraction form
    284,916.95/427,376.14 = 116,437.25/x
  3. Step 3: Cross multiply
    284,916.95x = 427,376.14 × 116,437.25
  4. Step 4: Simplify right side
    284,916.95x = 49,762,500,666.83
  5. Step 5: Solve for x
    x = 49,762,500,666.83/284,916.95
  6. Step 6: Final answer
    x = 174,656.16

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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.