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Finding the Fourth Proportional to 289,713.40, 434,570.10 and 289,713.40

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Solution

The fourth proportional to 289,713.40, 434,570.10 and 289,713.40 is: 434,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.40 : 434,570.10 = 289,713.40 : x
  2. Step 2: Convert to fraction form
    289,713.40/434,570.10 = 289,713.40/x
  3. Step 3: Cross multiply
    289,713.40x = 434,570.10 × 289,713.40
  4. Step 4: Simplify right side
    289,713.40x = 125,900,781,209.34
  5. Step 5: Solve for x
    x = 125,900,781,209.34/289,713.40
  6. Step 6: Final answer
    x = 434,570.10

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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.