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Finding the Fourth Proportional to 652,966.85, 978,070.41 and 412,957.28

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Solution

The fourth proportional to 652,966.85, 978,070.41 and 412,957.28 is: 618,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,966.85 : 978,070.41 = 412,957.28 : x
  2. Step 2: Convert to fraction form
    652,966.85/978,070.41 = 412,957.28/x
  3. Step 3: Cross multiply
    652,966.85x = 978,070.41 × 412,957.28
  4. Step 4: Simplify right side
    652,966.85x = 403,901,291,271.73
  5. Step 5: Solve for x
    x = 403,901,291,271.73/652,966.85
  6. Step 6: Final answer
    x = 618,563.25

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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.