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Finding the Fourth Proportional to 423,745, 584,768.16 and 232,761.64

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Solution

The fourth proportional to 423,745, 584,768.16 and 232,761.64 is: 321,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,745 : 584,768.16 = 232,761.64 : x
  2. Step 2: Convert to fraction form
    423,745/584,768.16 = 232,761.64/x
  3. Step 3: Cross multiply
    423,745x = 584,768.16 × 232,761.64
  4. Step 4: Simplify right side
    423,745x = 136,111,595,941.38
  5. Step 5: Solve for x
    x = 136,111,595,941.38/423,745
  6. Step 6: Final answer
    x = 321,211.10

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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.