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Finding the Fourth Proportional to 532,873.63, 735,370.78 and 291,156.18

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Solution

The fourth proportional to 532,873.63, 735,370.78 and 291,156.18 is: 401,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,873.63 : 735,370.78 = 291,156.18 : x
  2. Step 2: Convert to fraction form
    532,873.63/735,370.78 = 291,156.18/x
  3. Step 3: Cross multiply
    532,873.63x = 735,370.78 × 291,156.18
  4. Step 4: Simplify right side
    532,873.63x = 214,107,747,566.39
  5. Step 5: Solve for x
    x = 214,107,747,566.39/532,873.63
  6. Step 6: Final answer
    x = 401,798.35

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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.