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Finding the Fourth Proportional to 257,683.20, 386,816.40 and 152,561.40

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Solution

The fourth proportional to 257,683.20, 386,816.40 and 152,561.40 is: 229,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,683.20 : 386,816.40 = 152,561.40 : x
  2. Step 2: Convert to fraction form
    257,683.20/386,816.40 = 152,561.40/x
  3. Step 3: Cross multiply
    257,683.20x = 386,816.40 × 152,561.40
  4. Step 4: Simplify right side
    257,683.20x = 59,013,251,526.96
  5. Step 5: Solve for x
    x = 59,013,251,526.96/257,683.20
  6. Step 6: Final answer
    x = 229,014.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.