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Finding the Fourth Proportional to 336,031.52, 463,724.64 and 185,128.16

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Solution

The fourth proportional to 336,031.52, 463,724.64 and 185,128.16 is: 255,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,031.52 : 463,724.64 = 185,128.16 : x
  2. Step 2: Convert to fraction form
    336,031.52/463,724.64 = 185,128.16/x
  3. Step 3: Cross multiply
    336,031.52x = 463,724.64 × 185,128.16
  4. Step 4: Simplify right side
    336,031.52x = 85,848,489,349.86
  5. Step 5: Solve for x
    x = 85,848,489,349.86/336,031.52
  6. Step 6: Final answer
    x = 255,477.49

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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.