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Finding the Fourth Proportional to 511,482.24, 767,237.94 and 156,488.40

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Solution

The fourth proportional to 511,482.24, 767,237.94 and 156,488.40 is: 234,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,482.24 : 767,237.94 = 156,488.40 : x
  2. Step 2: Convert to fraction form
    511,482.24/767,237.94 = 156,488.40/x
  3. Step 3: Cross multiply
    511,482.24x = 767,237.94 × 156,488.40
  4. Step 4: Simplify right side
    511,482.24x = 120,063,837,649.90
  5. Step 5: Solve for x
    x = 120,063,837,649.90/511,482.24
  6. Step 6: Final answer
    x = 234,737.06

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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.