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Finding the Fourth Proportional to 316,310.40, 474,465.60 and 286,761.60

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Solution

The fourth proportional to 316,310.40, 474,465.60 and 286,761.60 is: 430,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,310.40 : 474,465.60 = 286,761.60 : x
  2. Step 2: Convert to fraction form
    316,310.40/474,465.60 = 286,761.60/x
  3. Step 3: Cross multiply
    316,310.40x = 474,465.60 × 286,761.60
  4. Step 4: Simplify right side
    316,310.40x = 136,058,514,600.96
  5. Step 5: Solve for x
    x = 136,058,514,600.96/316,310.40
  6. Step 6: Final answer
    x = 430,142.40

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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.