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Finding the Fourth Proportional to 277,033.16, 382,289.31 and 160,737.63

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Solution

The fourth proportional to 277,033.16, 382,289.31 and 160,737.63 is: 221,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,033.16 : 382,289.31 = 160,737.63 : x
  2. Step 2: Convert to fraction form
    277,033.16/382,289.31 = 160,737.63/x
  3. Step 3: Cross multiply
    277,033.16x = 382,289.31 × 160,737.63
  4. Step 4: Simplify right side
    277,033.16x = 61,448,276,541.71
  5. Step 5: Solve for x
    x = 61,448,276,541.71/277,033.16
  6. Step 6: Final answer
    x = 221,808.38

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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.