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Finding the Fourth Proportional to 511,613.28, 706,090.50 and 293,890.14

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Solution

The fourth proportional to 511,613.28, 706,090.50 and 293,890.14 is: 405,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,613.28 : 706,090.50 = 293,890.14 : x
  2. Step 2: Convert to fraction form
    511,613.28/706,090.50 = 293,890.14/x
  3. Step 3: Cross multiply
    511,613.28x = 706,090.50 × 293,890.14
  4. Step 4: Simplify right side
    511,613.28x = 207,513,035,897.67
  5. Step 5: Solve for x
    x = 207,513,035,897.67/511,613.28
  6. Step 6: Final answer
    x = 405,605.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.