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Finding the Fourth Proportional to 471,657.10, 707,485.65 and 282,700.30

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Solution

The fourth proportional to 471,657.10, 707,485.65 and 282,700.30 is: 424,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,657.10 : 707,485.65 = 282,700.30 : x
  2. Step 2: Convert to fraction form
    471,657.10/707,485.65 = 282,700.30/x
  3. Step 3: Cross multiply
    471,657.10x = 707,485.65 × 282,700.30
  4. Step 4: Simplify right side
    471,657.10x = 200,006,405,500.70
  5. Step 5: Solve for x
    x = 200,006,405,500.70/471,657.10
  6. Step 6: Final answer
    x = 424,050.45

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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.