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Finding the Fourth Proportional to 277,289.58, 382,706.70 and 156,465.12

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Solution

The fourth proportional to 277,289.58, 382,706.70 and 156,465.12 is: 215,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.58 : 382,706.70 = 156,465.12 : x
  2. Step 2: Convert to fraction form
    277,289.58/382,706.70 = 156,465.12/x
  3. Step 3: Cross multiply
    277,289.58x = 382,706.70 × 156,465.12
  4. Step 4: Simplify right side
    277,289.58x = 59,880,249,740.30
  5. Step 5: Solve for x
    x = 59,880,249,740.30/277,289.58
  6. Step 6: Final answer
    x = 215,948.43

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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.