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Finding the Fourth Proportional to 406,871.40, 610,307.10 and 280,900.20

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Solution

The fourth proportional to 406,871.40, 610,307.10 and 280,900.20 is: 421,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,871.40 : 610,307.10 = 280,900.20 : x
  2. Step 2: Convert to fraction form
    406,871.40/610,307.10 = 280,900.20/x
  3. Step 3: Cross multiply
    406,871.40x = 610,307.10 × 280,900.20
  4. Step 4: Simplify right side
    406,871.40x = 171,435,386,451.42
  5. Step 5: Solve for x
    x = 171,435,386,451.42/406,871.40
  6. Step 6: Final answer
    x = 421,350.30

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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.