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Finding the Fourth Proportional to 407,476.10, 611,214.15 and 302,500.10

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Solution

The fourth proportional to 407,476.10, 611,214.15 and 302,500.10 is: 453,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,476.10 : 611,214.15 = 302,500.10 : x
  2. Step 2: Convert to fraction form
    407,476.10/611,214.15 = 302,500.10/x
  3. Step 3: Cross multiply
    407,476.10x = 611,214.15 × 302,500.10
  4. Step 4: Simplify right side
    407,476.10x = 184,892,341,496.42
  5. Step 5: Solve for x
    x = 184,892,341,496.42/407,476.10
  6. Step 6: Final answer
    x = 453,750.15

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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.