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Finding the Fourth Proportional to 532,853.64, 735,329.34 and 291,131.01

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Solution

The fourth proportional to 532,853.64, 735,329.34 and 291,131.01 is: 401,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,853.64 : 735,329.34 = 291,131.01 : x
  2. Step 2: Convert to fraction form
    532,853.64/735,329.34 = 291,131.01/x
  3. Step 3: Cross multiply
    532,853.64x = 735,329.34 × 291,131.01
  4. Step 4: Simplify right side
    532,853.64x = 214,077,173,436.83
  5. Step 5: Solve for x
    x = 214,077,173,436.83/532,853.64
  6. Step 6: Final answer
    x = 401,756.05

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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.