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Finding the Fourth Proportional to 584,533.50, 806,656.26 and 316,261.50

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Solution

The fourth proportional to 584,533.50, 806,656.26 and 316,261.50 is: 436,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,533.50 : 806,656.26 = 316,261.50 : x
  2. Step 2: Convert to fraction form
    584,533.50/806,656.26 = 316,261.50/x
  3. Step 3: Cross multiply
    584,533.50x = 806,656.26 × 316,261.50
  4. Step 4: Simplify right side
    584,533.50x = 255,114,318,771.99
  5. Step 5: Solve for x
    x = 255,114,318,771.99/584,533.50
  6. Step 6: Final answer
    x = 436,440.89

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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.