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Finding the Fourth Proportional to 476,411.34, 657,448.74 and 261,565.22

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Solution

The fourth proportional to 476,411.34, 657,448.74 and 261,565.22 is: 360,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,411.34 : 657,448.74 = 261,565.22 : x
  2. Step 2: Convert to fraction form
    476,411.34/657,448.74 = 261,565.22/x
  3. Step 3: Cross multiply
    476,411.34x = 657,448.74 × 261,565.22
  4. Step 4: Simplify right side
    476,411.34x = 171,965,724,316.82
  5. Step 5: Solve for x
    x = 171,965,724,316.82/476,411.34
  6. Step 6: Final answer
    x = 360,960.60

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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.