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Finding the Fourth Proportional to 284,693.53, 392,916.15 and 163,832.35

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Solution

The fourth proportional to 284,693.53, 392,916.15 and 163,832.35 is: 226,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,693.53 : 392,916.15 = 163,832.35 : x
  2. Step 2: Convert to fraction form
    284,693.53/392,916.15 = 163,832.35/x
  3. Step 3: Cross multiply
    284,693.53x = 392,916.15 × 163,832.35
  4. Step 4: Simplify right side
    284,693.53x = 64,372,376,207.45
  5. Step 5: Solve for x
    x = 64,372,376,207.45/284,693.53
  6. Step 6: Final answer
    x = 226,111.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.