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Finding the Fourth Proportional to 284,404.43, 392,559.12 and 168,225.52

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Solution

The fourth proportional to 284,404.43, 392,559.12 and 168,225.52 is: 232,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,404.43 : 392,559.12 = 168,225.52 : x
  2. Step 2: Convert to fraction form
    284,404.43/392,559.12 = 168,225.52/x
  3. Step 3: Cross multiply
    284,404.43x = 392,559.12 × 168,225.52
  4. Step 4: Simplify right side
    284,404.43x = 66,038,459,288.82
  5. Step 5: Solve for x
    x = 66,038,459,288.82/284,404.43
  6. Step 6: Final answer
    x = 232,199.13

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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.