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Finding the Fourth Proportional to 438,423.40, 657,635.10 and 172,095.40

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Solution

The fourth proportional to 438,423.40, 657,635.10 and 172,095.40 is: 258,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,423.40 : 657,635.10 = 172,095.40 : x
  2. Step 2: Convert to fraction form
    438,423.40/657,635.10 = 172,095.40/x
  3. Step 3: Cross multiply
    438,423.40x = 657,635.10 × 172,095.40
  4. Step 4: Simplify right side
    438,423.40x = 113,175,975,588.54
  5. Step 5: Solve for x
    x = 113,175,975,588.54/438,423.40
  6. Step 6: Final answer
    x = 258,143.10

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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.