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Finding the Fourth Proportional to 414,951.47, 572,627.39 and 233,665.58

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Solution

The fourth proportional to 414,951.47, 572,627.39 and 233,665.58 is: 322,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,951.47 : 572,627.39 = 233,665.58 : x
  2. Step 2: Convert to fraction form
    414,951.47/572,627.39 = 233,665.58/x
  3. Step 3: Cross multiply
    414,951.47x = 572,627.39 × 233,665.58
  4. Step 4: Simplify right side
    414,951.47x = 133,803,307,176.77
  5. Step 5: Solve for x
    x = 133,803,307,176.77/414,951.47
  6. Step 6: Final answer
    x = 322,455.31

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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.