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Finding the Fourth Proportional to 472,946.60, 709,419.90 and 295,999.40

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Solution

The fourth proportional to 472,946.60, 709,419.90 and 295,999.40 is: 443,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,946.60 : 709,419.90 = 295,999.40 : x
  2. Step 2: Convert to fraction form
    472,946.60/709,419.90 = 295,999.40/x
  3. Step 3: Cross multiply
    472,946.60x = 709,419.90 × 295,999.40
  4. Step 4: Simplify right side
    472,946.60x = 209,987,864,748.06
  5. Step 5: Solve for x
    x = 209,987,864,748.06/472,946.60
  6. Step 6: Final answer
    x = 443,999.10

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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.