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Finding the Fourth Proportional to 296,070.20, 415,431.40 and 296,070.20

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Solution

The fourth proportional to 296,070.20, 415,431.40 and 296,070.20 is: 415,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,070.20 : 415,431.40 = 296,070.20 : x
  2. Step 2: Convert to fraction form
    296,070.20/415,431.40 = 296,070.20/x
  3. Step 3: Cross multiply
    296,070.20x = 415,431.40 × 296,070.20
  4. Step 4: Simplify right side
    296,070.20x = 122,996,857,684.28
  5. Step 5: Solve for x
    x = 122,996,857,684.28/296,070.20
  6. Step 6: Final answer
    x = 415,431.40

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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.