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Finding the Fourth Proportional to 506,740.57, 760,229.12 and 146,918.93

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Solution

The fourth proportional to 506,740.57, 760,229.12 and 146,918.93 is: 220,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,740.57 : 760,229.12 = 146,918.93 : x
  2. Step 2: Convert to fraction form
    506,740.57/760,229.12 = 146,918.93/x
  3. Step 3: Cross multiply
    506,740.57x = 760,229.12 × 146,918.93
  4. Step 4: Simplify right side
    506,740.57x = 111,692,045,431.39
  5. Step 5: Solve for x
    x = 111,692,045,431.39/506,740.57
  6. Step 6: Final answer
    x = 220,412.68

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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.