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Finding the Fourth Proportional to 301,655.40, 452,774.70 and 152,064.60

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Solution

The fourth proportional to 301,655.40, 452,774.70 and 152,064.60 is: 228,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,655.40 : 452,774.70 = 152,064.60 : x
  2. Step 2: Convert to fraction form
    301,655.40/452,774.70 = 152,064.60/x
  3. Step 3: Cross multiply
    301,655.40x = 452,774.70 × 152,064.60
  4. Step 4: Simplify right side
    301,655.40x = 68,851,003,645.62
  5. Step 5: Solve for x
    x = 68,851,003,645.62/301,655.40
  6. Step 6: Final answer
    x = 228,243.90

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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.