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Finding the Fourth Proportional to 464,113.95, 640,353.78 and 267,830.70

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Solution

The fourth proportional to 464,113.95, 640,353.78 and 267,830.70 is: 369,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,113.95 : 640,353.78 = 267,830.70 : x
  2. Step 2: Convert to fraction form
    464,113.95/640,353.78 = 267,830.70/x
  3. Step 3: Cross multiply
    464,113.95x = 640,353.78 × 267,830.70
  4. Step 4: Simplify right side
    464,113.95x = 171,506,401,145.05
  5. Step 5: Solve for x
    x = 171,506,401,145.05/464,113.95
  6. Step 6: Final answer
    x = 369,535.11

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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.