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Finding the Fourth Proportional to 923,968, 1,275,075.84 and 500,032

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Solution

The fourth proportional to 923,968, 1,275,075.84 and 500,032 is: 690,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,968 : 1,275,075.84 = 500,032 : x
  2. Step 2: Convert to fraction form
    923,968/1,275,075.84 = 500,032/x
  3. Step 3: Cross multiply
    923,968x = 1,275,075.84 × 500,032
  4. Step 4: Simplify right side
    923,968x = 637,578,722,426.88
  5. Step 5: Solve for x
    x = 637,578,722,426.88/923,968
  6. Step 6: Final answer
    x = 690,044.16

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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.