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Finding the Fourth Proportional to 973,338, 1,460,007 and 308,490

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Solution

The fourth proportional to 973,338, 1,460,007 and 308,490 is: 462,735

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,338 : 1,460,007 = 308,490 : x
  2. Step 2: Convert to fraction form
    973,338/1,460,007 = 308,490/x
  3. Step 3: Cross multiply
    973,338x = 1,460,007 × 308,490
  4. Step 4: Simplify right side
    973,338x = 450,397,559,430
  5. Step 5: Solve for x
    x = 450,397,559,430/973,338
  6. Step 6: Final answer
    x = 462,735

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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.