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Finding the Fourth Proportional to 464,485.59, 641,002.95 and 283,156.02

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Solution

The fourth proportional to 464,485.59, 641,002.95 and 283,156.02 is: 390,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,485.59 : 641,002.95 = 283,156.02 : x
  2. Step 2: Convert to fraction form
    464,485.59/641,002.95 = 283,156.02/x
  3. Step 3: Cross multiply
    464,485.59x = 641,002.95 × 283,156.02
  4. Step 4: Simplify right side
    464,485.59x = 181,503,844,130.26
  5. Step 5: Solve for x
    x = 181,503,844,130.26/464,485.59
  6. Step 6: Final answer
    x = 390,763.13

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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.