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Finding the Fourth Proportional to 316,064.34, 436,133.07 and 187,006.77

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Solution

The fourth proportional to 316,064.34, 436,133.07 and 187,006.77 is: 258,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,064.34 : 436,133.07 = 187,006.77 : x
  2. Step 2: Convert to fraction form
    316,064.34/436,133.07 = 187,006.77/x
  3. Step 3: Cross multiply
    316,064.34x = 436,133.07 × 187,006.77
  4. Step 4: Simplify right side
    316,064.34x = 81,559,836,710.88
  5. Step 5: Solve for x
    x = 81,559,836,710.88/316,064.34
  6. Step 6: Final answer
    x = 258,048.21

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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.