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Finding the Fourth Proportional to 528,009.80, 790,848.30 and 409,296.20

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Solution

The fourth proportional to 528,009.80, 790,848.30 and 409,296.20 is: 613,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,009.80 : 790,848.30 = 409,296.20 : x
  2. Step 2: Convert to fraction form
    528,009.80/790,848.30 = 409,296.20/x
  3. Step 3: Cross multiply
    528,009.80x = 790,848.30 × 409,296.20
  4. Step 4: Simplify right side
    528,009.80x = 323,691,203,966.46
  5. Step 5: Solve for x
    x = 323,691,203,966.46/528,009.80
  6. Step 6: Final answer
    x = 613,040.14

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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.