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Finding the Fourth Proportional to 277,007.67, 382,300.96 and 160,746.75

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Solution

The fourth proportional to 277,007.67, 382,300.96 and 160,746.75 is: 221,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,007.67 : 382,300.96 = 160,746.75 : x
  2. Step 2: Convert to fraction form
    277,007.67/382,300.96 = 160,746.75/x
  3. Step 3: Cross multiply
    277,007.67x = 382,300.96 × 160,746.75
  4. Step 4: Simplify right side
    277,007.67x = 61,453,636,841.88
  5. Step 5: Solve for x
    x = 61,453,636,841.88/277,007.67
  6. Step 6: Final answer
    x = 221,848.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.