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Finding the Fourth Proportional to 652,828.42, 978,455.19 and 337,113.22

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Solution

The fourth proportional to 652,828.42, 978,455.19 and 337,113.22 is: 505,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,828.42 : 978,455.19 = 337,113.22 : x
  2. Step 2: Convert to fraction form
    652,828.42/978,455.19 = 337,113.22/x
  3. Step 3: Cross multiply
    652,828.42x = 978,455.19 × 337,113.22
  4. Step 4: Simplify right side
    652,828.42x = 329,850,179,726.61
  5. Step 5: Solve for x
    x = 329,850,179,726.61/652,828.42
  6. Step 6: Final answer
    x = 505,263.20

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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.