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Finding the Fourth Proportional to 1,315,042.02, 1,972,748.52 and 515,890.08

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Solution

The fourth proportional to 1,315,042.02, 1,972,748.52 and 515,890.08 is: 773,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,042.02 : 1,972,748.52 = 515,890.08 : x
  2. Step 2: Convert to fraction form
    1,315,042.02/1,972,748.52 = 515,890.08/x
  3. Step 3: Cross multiply
    1,315,042.02x = 1,972,748.52 × 515,890.08
  4. Step 4: Simplify right side
    1,315,042.02x = 1,017,721,391,802.68
  5. Step 5: Solve for x
    x = 1,017,721,391,802.68/1,315,042.02
  6. Step 6: Final answer
    x = 773,907.89

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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.