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Finding the Fourth Proportional to 476,632.06, 657,756.75 and 261,776.50

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Solution

The fourth proportional to 476,632.06, 657,756.75 and 261,776.50 is: 361,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,632.06 : 657,756.75 = 261,776.50 : x
  2. Step 2: Convert to fraction form
    476,632.06/657,756.75 = 261,776.50/x
  3. Step 3: Cross multiply
    476,632.06x = 657,756.75 × 261,776.50
  4. Step 4: Simplify right side
    476,632.06x = 172,185,259,866.38
  5. Step 5: Solve for x
    x = 172,185,259,866.38/476,632.06
  6. Step 6: Final answer
    x = 361,254.05

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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.