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Finding the Fourth Proportional to 337,564.40, 506,281.80 and 100,914.80

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Solution

The fourth proportional to 337,564.40, 506,281.80 and 100,914.80 is: 151,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,564.40 : 506,281.80 = 100,914.80 : x
  2. Step 2: Convert to fraction form
    337,564.40/506,281.80 = 100,914.80/x
  3. Step 3: Cross multiply
    337,564.40x = 506,281.80 × 100,914.80
  4. Step 4: Simplify right side
    337,564.40x = 51,091,326,590.64
  5. Step 5: Solve for x
    x = 51,091,326,590.64/337,564.40
  6. Step 6: Final answer
    x = 151,352.83

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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.