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Finding the Fourth Proportional to 284,516.64, 392,599.50 and 157,184.64

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Solution

The fourth proportional to 284,516.64, 392,599.50 and 157,184.64 is: 216,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,516.64 : 392,599.50 = 157,184.64 : x
  2. Step 2: Convert to fraction form
    284,516.64/392,599.50 = 157,184.64/x
  3. Step 3: Cross multiply
    284,516.64x = 392,599.50 × 157,184.64
  4. Step 4: Simplify right side
    284,516.64x = 61,710,611,071.68
  5. Step 5: Solve for x
    x = 61,710,611,071.68/284,516.64
  6. Step 6: Final answer
    x = 216,896.32

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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.