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Finding the Fourth Proportional to 536,506.48, 804,884.28 and 157,411.90

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Solution

The fourth proportional to 536,506.48, 804,884.28 and 157,411.90 is: 236,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,506.48 : 804,884.28 = 157,411.90 : x
  2. Step 2: Convert to fraction form
    536,506.48/804,884.28 = 157,411.90/x
  3. Step 3: Cross multiply
    536,506.48x = 804,884.28 × 157,411.90
  4. Step 4: Simplify right side
    536,506.48x = 126,698,363,794.93
  5. Step 5: Solve for x
    x = 126,698,363,794.93/536,506.48
  6. Step 6: Final answer
    x = 236,154.40

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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.