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Finding the Fourth Proportional to 309,633.70, 432,962.30 and 309,633.70

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Solution

The fourth proportional to 309,633.70, 432,962.30 and 309,633.70 is: 432,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,633.70 : 432,962.30 = 309,633.70 : x
  2. Step 2: Convert to fraction form
    309,633.70/432,962.30 = 309,633.70/x
  3. Step 3: Cross multiply
    309,633.70x = 432,962.30 × 309,633.70
  4. Step 4: Simplify right side
    309,633.70x = 134,059,718,909.51
  5. Step 5: Solve for x
    x = 134,059,718,909.51/309,633.70
  6. Step 6: Final answer
    x = 432,962.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.