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Finding the Fourth Proportional to 438,416.30, 657,487.76 and 172,258.40

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Solution

The fourth proportional to 438,416.30, 657,487.76 and 172,258.40 is: 258,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,416.30 : 657,487.76 = 172,258.40 : x
  2. Step 2: Convert to fraction form
    438,416.30/657,487.76 = 172,258.40/x
  3. Step 3: Cross multiply
    438,416.30x = 657,487.76 × 172,258.40
  4. Step 4: Simplify right side
    438,416.30x = 113,257,789,557.18
  5. Step 5: Solve for x
    x = 113,257,789,557.18/438,416.30
  6. Step 6: Final answer
    x = 258,333.89

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1.5x scale

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.