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Finding the Fourth Proportional to 316,858.94, 472,983.51 and 293,442.32

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Solution

The fourth proportional to 316,858.94, 472,983.51 and 293,442.32 is: 438,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,858.94 : 472,983.51 = 293,442.32 : x
  2. Step 2: Convert to fraction form
    316,858.94/472,983.51 = 293,442.32/x
  3. Step 3: Cross multiply
    316,858.94x = 472,983.51 × 293,442.32
  4. Step 4: Simplify right side
    316,858.94x = 138,793,378,578.19
  5. Step 5: Solve for x
    x = 138,793,378,578.19/316,858.94
  6. Step 6: Final answer
    x = 438,028.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.