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Finding the Fourth Proportional to 652,897.90, 978,953.19 and 298,210.24

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Solution

The fourth proportional to 652,897.90, 978,953.19 and 298,210.24 is: 447,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,897.90 : 978,953.19 = 298,210.24 : x
  2. Step 2: Convert to fraction form
    652,897.90/978,953.19 = 298,210.24/x
  3. Step 3: Cross multiply
    652,897.90x = 978,953.19 × 298,210.24
  4. Step 4: Simplify right side
    652,897.90x = 291,933,865,738.67
  5. Step 5: Solve for x
    x = 291,933,865,738.67/652,897.90
  6. Step 6: Final answer
    x = 447,135.56

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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.