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Finding the Fourth Proportional to 532,398, 734,703.68 and 290,679.83

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Solution

The fourth proportional to 532,398, 734,703.68 and 290,679.83 is: 401,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,398 : 734,703.68 = 290,679.83 : x
  2. Step 2: Convert to fraction form
    532,398/734,703.68 = 290,679.83/x
  3. Step 3: Cross multiply
    532,398x = 734,703.68 × 290,679.83
  4. Step 4: Simplify right side
    532,398x = 213,563,540,802.77
  5. Step 5: Solve for x
    x = 213,563,540,802.77/532,398
  6. Step 6: Final answer
    x = 401,135.13

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