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Finding the Fourth Proportional to 435,347.10, 652,865.13 and 154,808.46

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Solution

The fourth proportional to 435,347.10, 652,865.13 and 154,808.46 is: 232,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,347.10 : 652,865.13 = 154,808.46 : x
  2. Step 2: Convert to fraction form
    435,347.10/652,865.13 = 154,808.46/x
  3. Step 3: Cross multiply
    435,347.10x = 652,865.13 × 154,808.46
  4. Step 4: Simplify right side
    435,347.10x = 101,069,045,363.00
  5. Step 5: Solve for x
    x = 101,069,045,363.00/435,347.10
  6. Step 6: Final answer
    x = 232,157.39

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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.