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Finding the Fourth Proportional to 532,315.07, 734,595.98 and 290,597.71

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Solution

The fourth proportional to 532,315.07, 734,595.98 and 290,597.71 is: 401,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,315.07 : 734,595.98 = 290,597.71 : x
  2. Step 2: Convert to fraction form
    532,315.07/734,595.98 = 290,597.71/x
  3. Step 3: Cross multiply
    532,315.07x = 734,595.98 × 290,597.71
  4. Step 4: Simplify right side
    532,315.07x = 213,471,907,000.22
  5. Step 5: Solve for x
    x = 213,471,907,000.22/532,315.07
  6. Step 6: Final answer
    x = 401,025.48

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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.