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Finding the Fourth Proportional to 284,188.38, 392,210.55 and 212,445.06

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Solution

The fourth proportional to 284,188.38, 392,210.55 and 212,445.06 is: 293,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,188.38 : 392,210.55 = 212,445.06 : x
  2. Step 2: Convert to fraction form
    284,188.38/392,210.55 = 212,445.06/x
  3. Step 3: Cross multiply
    284,188.38x = 392,210.55 × 212,445.06
  4. Step 4: Simplify right side
    284,188.38x = 83,323,193,827.38
  5. Step 5: Solve for x
    x = 83,323,193,827.38/284,188.38
  6. Step 6: Final answer
    x = 293,197.05

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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.