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Finding the Fourth Proportional to 313,455.63, 432,679.14 and 186,130.32

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Solution

The fourth proportional to 313,455.63, 432,679.14 and 186,130.32 is: 256,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,455.63 : 432,679.14 = 186,130.32 : x
  2. Step 2: Convert to fraction form
    313,455.63/432,679.14 = 186,130.32/x
  3. Step 3: Cross multiply
    313,455.63x = 432,679.14 × 186,130.32
  4. Step 4: Simplify right side
    313,455.63x = 80,534,706,785.52
  5. Step 5: Solve for x
    x = 80,534,706,785.52/313,455.63
  6. Step 6: Final answer
    x = 256,925.38

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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.