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Finding the Fourth Proportional to 464,471.28, 640,977.84 and 260,567.55

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Solution

The fourth proportional to 464,471.28, 640,977.84 and 260,567.55 is: 359,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,471.28 : 640,977.84 = 260,567.55 : x
  2. Step 2: Convert to fraction form
    464,471.28/640,977.84 = 260,567.55/x
  3. Step 3: Cross multiply
    464,471.28x = 640,977.84 × 260,567.55
  4. Step 4: Simplify right side
    464,471.28x = 167,018,025,373.09
  5. Step 5: Solve for x
    x = 167,018,025,373.09/464,471.28
  6. Step 6: Final answer
    x = 359,587.41

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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.