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Finding the Fourth Proportional to 284,210.57, 392,211.11 and 156,886.27

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Solution

The fourth proportional to 284,210.57, 392,211.11 and 156,886.27 is: 216,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,210.57 : 392,211.11 = 156,886.27 : x
  2. Step 2: Convert to fraction form
    284,210.57/392,211.11 = 156,886.27/x
  3. Step 3: Cross multiply
    284,210.57x = 392,211.11 × 156,886.27
  4. Step 4: Simplify right side
    284,210.57x = 61,532,537,512.15
  5. Step 5: Solve for x
    x = 61,532,537,512.15/284,210.57
  6. Step 6: Final answer
    x = 216,503.34

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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.