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Finding the Fourth Proportional to 647,230.08, 893,207.84 and 360,752

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Solution

The fourth proportional to 647,230.08, 893,207.84 and 360,752 is: 497,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,230.08 : 893,207.84 = 360,752 : x
  2. Step 2: Convert to fraction form
    647,230.08/893,207.84 = 360,752/x
  3. Step 3: Cross multiply
    647,230.08x = 893,207.84 × 360,752
  4. Step 4: Simplify right side
    647,230.08x = 322,226,514,695.68
  5. Step 5: Solve for x
    x = 322,226,514,695.68/647,230.08
  6. Step 6: Final answer
    x = 497,854.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.