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Finding the Fourth Proportional to 472,339.41, 708,647.15 and 152,483.77

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Solution

The fourth proportional to 472,339.41, 708,647.15 and 152,483.77 is: 228,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,339.41 : 708,647.15 = 152,483.77 : x
  2. Step 2: Convert to fraction form
    472,339.41/708,647.15 = 152,483.77/x
  3. Step 3: Cross multiply
    472,339.41x = 708,647.15 × 152,483.77
  4. Step 4: Simplify right side
    472,339.41x = 108,057,189,031.76
  5. Step 5: Solve for x
    x = 108,057,189,031.76/472,339.41
  6. Step 6: Final answer
    x = 228,770.22

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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.