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Finding the Fourth Proportional to 434,681.70, 652,022.55 and 293,676.90

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Solution

The fourth proportional to 434,681.70, 652,022.55 and 293,676.90 is: 440,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,681.70 : 652,022.55 = 293,676.90 : x
  2. Step 2: Convert to fraction form
    434,681.70/652,022.55 = 293,676.90/x
  3. Step 3: Cross multiply
    434,681.70x = 652,022.55 × 293,676.90
  4. Step 4: Simplify right side
    434,681.70x = 191,483,961,214.10
  5. Step 5: Solve for x
    x = 191,483,961,214.10/434,681.70
  6. Step 6: Final answer
    x = 440,515.35

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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.