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Finding the Fourth Proportional to 334,952.16, 501,533.64 and 281,808

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Solution

The fourth proportional to 334,952.16, 501,533.64 and 281,808 is: 421,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,952.16 : 501,533.64 = 281,808 : x
  2. Step 2: Convert to fraction form
    334,952.16/501,533.64 = 281,808/x
  3. Step 3: Cross multiply
    334,952.16x = 501,533.64 × 281,808
  4. Step 4: Simplify right side
    334,952.16x = 141,336,192,021.12
  5. Step 5: Solve for x
    x = 141,336,192,021.12/334,952.16
  6. Step 6: Final answer
    x = 421,959.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.