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Finding the Fourth Proportional to 472,938.20, 709,407.30 and 295,645.40

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Solution

The fourth proportional to 472,938.20, 709,407.30 and 295,645.40 is: 443,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,938.20 : 709,407.30 = 295,645.40 : x
  2. Step 2: Convert to fraction form
    472,938.20/709,407.30 = 295,645.40/x
  3. Step 3: Cross multiply
    472,938.20x = 709,407.30 × 295,645.40
  4. Step 4: Simplify right side
    472,938.20x = 209,733,004,971.42
  5. Step 5: Solve for x
    x = 209,733,004,971.42/472,938.20
  6. Step 6: Final answer
    x = 443,468.10

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Similar ratio
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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.