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Finding the Fourth Proportional to 532,697.94, 735,118.80 and 290,980.58

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Solution

The fourth proportional to 532,697.94, 735,118.80 and 290,980.58 is: 401,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,697.94 : 735,118.80 = 290,980.58 : x
  2. Step 2: Convert to fraction form
    532,697.94/735,118.80 = 290,980.58/x
  3. Step 3: Cross multiply
    532,697.94x = 735,118.80 × 290,980.58
  4. Step 4: Simplify right side
    532,697.94x = 213,905,294,792.90
  5. Step 5: Solve for x
    x = 213,905,294,792.90/532,697.94
  6. Step 6: Final answer
    x = 401,550.82

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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.