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Finding the Fourth Proportional to 517,347.54, 713,932.29 and 290,992.50

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Solution

The fourth proportional to 517,347.54, 713,932.29 and 290,992.50 is: 401,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,347.54 : 713,932.29 = 290,992.50 : x
  2. Step 2: Convert to fraction form
    517,347.54/713,932.29 = 290,992.50/x
  3. Step 3: Cross multiply
    517,347.54x = 713,932.29 × 290,992.50
  4. Step 4: Simplify right side
    517,347.54x = 207,748,941,897.83
  5. Step 5: Solve for x
    x = 207,748,941,897.83/517,347.54
  6. Step 6: Final answer
    x = 401,565.54

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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.