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Finding the Fourth Proportional to 434,675.40, 652,013.10 and 434,675.40

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Solution

The fourth proportional to 434,675.40, 652,013.10 and 434,675.40 is: 652,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,675.40 : 652,013.10 = 434,675.40 : x
  2. Step 2: Convert to fraction form
    434,675.40/652,013.10 = 434,675.40/x
  3. Step 3: Cross multiply
    434,675.40x = 652,013.10 × 434,675.40
  4. Step 4: Simplify right side
    434,675.40x = 283,414,055,047.74
  5. Step 5: Solve for x
    x = 283,414,055,047.74/434,675.40
  6. Step 6: Final answer
    x = 652,013.10

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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.