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Finding the Fourth Proportional to 575,438.40, 863,156.16 and 154,714.24

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Solution

The fourth proportional to 575,438.40, 863,156.16 and 154,714.24 is: 232,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,438.40 : 863,156.16 = 154,714.24 : x
  2. Step 2: Convert to fraction form
    575,438.40/863,156.16 = 154,714.24/x
  3. Step 3: Cross multiply
    575,438.40x = 863,156.16 × 154,714.24
  4. Step 4: Simplify right side
    575,438.40x = 133,542,549,295.72
  5. Step 5: Solve for x
    x = 133,542,549,295.72/575,438.40
  6. Step 6: Final answer
    x = 232,070.97

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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.