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Finding the Fourth Proportional to 467,987, 702,053.58 and 152,369.60

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Solution

The fourth proportional to 467,987, 702,053.58 and 152,369.60 is: 228,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,987 : 702,053.58 = 152,369.60 : x
  2. Step 2: Convert to fraction form
    467,987/702,053.58 = 152,369.60/x
  3. Step 3: Cross multiply
    467,987x = 702,053.58 × 152,369.60
  4. Step 4: Simplify right side
    467,987x = 106,971,623,163.17
  5. Step 5: Solve for x
    x = 106,971,623,163.17/467,987
  6. Step 6: Final answer
    x = 228,578.19

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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.