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Finding the Fourth Proportional to 468,397.14, 646,400.62 and 284,573.14

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Solution

The fourth proportional to 468,397.14, 646,400.62 and 284,573.14 is: 392,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,397.14 : 646,400.62 = 284,573.14 : x
  2. Step 2: Convert to fraction form
    468,397.14/646,400.62 = 284,573.14/x
  3. Step 3: Cross multiply
    468,397.14x = 646,400.62 × 284,573.14
  4. Step 4: Simplify right side
    468,397.14x = 183,948,254,131.35
  5. Step 5: Solve for x
    x = 183,948,254,131.35/468,397.14
  6. Step 6: Final answer
    x = 392,718.57

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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.