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Finding the Fourth Proportional to 309,701.40, 464,897.70 and 289,397.40

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Solution

The fourth proportional to 309,701.40, 464,897.70 and 289,397.40 is: 434,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.40 : 464,897.70 = 289,397.40 : x
  2. Step 2: Convert to fraction form
    309,701.40/464,897.70 = 289,397.40/x
  3. Step 3: Cross multiply
    309,701.40x = 464,897.70 × 289,397.40
  4. Step 4: Simplify right side
    309,701.40x = 134,540,185,645.98
  5. Step 5: Solve for x
    x = 134,540,185,645.98/309,701.40
  6. Step 6: Final answer
    x = 434,419.04

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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.