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Finding the Fourth Proportional to 532,068.36, 734,254.02 and 305,713.32

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Solution

The fourth proportional to 532,068.36, 734,254.02 and 305,713.32 is: 421,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,068.36 : 734,254.02 = 305,713.32 : x
  2. Step 2: Convert to fraction form
    532,068.36/734,254.02 = 305,713.32/x
  3. Step 3: Cross multiply
    532,068.36x = 734,254.02 × 305,713.32
  4. Step 4: Simplify right side
    532,068.36x = 224,471,234,177.55
  5. Step 5: Solve for x
    x = 224,471,234,177.55/532,068.36
  6. Step 6: Final answer
    x = 421,884.20

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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.