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Finding the Fourth Proportional to 385,704.30, 577,572.30 and 306,972.30

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Solution

The fourth proportional to 385,704.30, 577,572.30 and 306,972.30 is: 459,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,704.30 : 577,572.30 = 306,972.30 : x
  2. Step 2: Convert to fraction form
    385,704.30/577,572.30 = 306,972.30/x
  3. Step 3: Cross multiply
    385,704.30x = 577,572.30 × 306,972.30
  4. Step 4: Simplify right side
    385,704.30x = 177,298,697,347.29
  5. Step 5: Solve for x
    x = 177,298,697,347.29/385,704.30
  6. Step 6: Final answer
    x = 459,675.19

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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.