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Finding the Fourth Proportional to 652,009.80, 978,014.70 and 628,390.20

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Solution

The fourth proportional to 652,009.80, 978,014.70 and 628,390.20 is: 942,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,009.80 : 978,014.70 = 628,390.20 : x
  2. Step 2: Convert to fraction form
    652,009.80/978,014.70 = 628,390.20/x
  3. Step 3: Cross multiply
    652,009.80x = 978,014.70 × 628,390.20
  4. Step 4: Simplify right side
    652,009.80x = 614,574,852,935.94
  5. Step 5: Solve for x
    x = 614,574,852,935.94/652,009.80
  6. Step 6: Final answer
    x = 942,585.30

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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.