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Finding the Fourth Proportional to 413,684.32, 570,850.72 and 232,386.40

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Solution

The fourth proportional to 413,684.32, 570,850.72 and 232,386.40 is: 320,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684.32 : 570,850.72 = 232,386.40 : x
  2. Step 2: Convert to fraction form
    413,684.32/570,850.72 = 232,386.40/x
  3. Step 3: Cross multiply
    413,684.32x = 570,850.72 × 232,386.40
  4. Step 4: Simplify right side
    413,684.32x = 132,657,943,758.21
  5. Step 5: Solve for x
    x = 132,657,943,758.21/413,684.32
  6. Step 6: Final answer
    x = 320,674.33

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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.