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Finding the Fourth Proportional to 552,013.60, 827,437.20 and 314,845.60

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Solution

The fourth proportional to 552,013.60, 827,437.20 and 314,845.60 is: 471,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,013.60 : 827,437.20 = 314,845.60 : x
  2. Step 2: Convert to fraction form
    552,013.60/827,437.20 = 314,845.60/x
  3. Step 3: Cross multiply
    552,013.60x = 827,437.20 × 314,845.60
  4. Step 4: Simplify right side
    552,013.60x = 260,514,961,696.32
  5. Step 5: Solve for x
    x = 260,514,961,696.32/552,013.60
  6. Step 6: Final answer
    x = 471,935.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.