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Finding the Fourth Proportional to 462,851.76, 638,783.51 and 266,625.03

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Solution

The fourth proportional to 462,851.76, 638,783.51 and 266,625.03 is: 367,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851.76 : 638,783.51 = 266,625.03 : x
  2. Step 2: Convert to fraction form
    462,851.76/638,783.51 = 266,625.03/x
  3. Step 3: Cross multiply
    462,851.76x = 638,783.51 × 266,625.03
  4. Step 4: Simplify right side
    462,851.76x = 170,315,671,184.13
  5. Step 5: Solve for x
    x = 170,315,671,184.13/462,851.76
  6. Step 6: Final answer
    x = 367,970.24

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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.