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Finding the Fourth Proportional to 584,313.50, 806,352.69 and 316,041.50

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Solution

The fourth proportional to 584,313.50, 806,352.69 and 316,041.50 is: 436,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,313.50 : 806,352.69 = 316,041.50 : x
  2. Step 2: Convert to fraction form
    584,313.50/806,352.69 = 316,041.50/x
  3. Step 3: Cross multiply
    584,313.50x = 806,352.69 × 316,041.50
  4. Step 4: Simplify right side
    584,313.50x = 254,840,913,676.64
  5. Step 5: Solve for x
    x = 254,840,913,676.64/584,313.50
  6. Step 6: Final answer
    x = 436,137.30

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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.