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Finding the Fourth Proportional to 973,339, 1,460,008.50 and 308,491

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Solution

The fourth proportional to 973,339, 1,460,008.50 and 308,491 is: 462,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,339 : 1,460,008.50 = 308,491 : x
  2. Step 2: Convert to fraction form
    973,339/1,460,008.50 = 308,491/x
  3. Step 3: Cross multiply
    973,339x = 1,460,008.50 × 308,491
  4. Step 4: Simplify right side
    973,339x = 450,399,482,173.50
  5. Step 5: Solve for x
    x = 450,399,482,173.50/973,339
  6. Step 6: Final answer
    x = 462,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.