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Finding the Fourth Proportional to 464,410.96, 696,617.16 and 127,456.20

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Solution

The fourth proportional to 464,410.96, 696,617.16 and 127,456.20 is: 191,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,410.96 : 696,617.16 = 127,456.20 : x
  2. Step 2: Convert to fraction form
    464,410.96/696,617.16 = 127,456.20/x
  3. Step 3: Cross multiply
    464,410.96x = 696,617.16 × 127,456.20
  4. Step 4: Simplify right side
    464,410.96x = 88,788,176,068.39
  5. Step 5: Solve for x
    x = 88,788,176,068.39/464,410.96
  6. Step 6: Final answer
    x = 191,184.50

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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.