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Finding the Fourth Proportional to 473,114.40, 709,671.60 and 295,967.40

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Solution

The fourth proportional to 473,114.40, 709,671.60 and 295,967.40 is: 443,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,114.40 : 709,671.60 = 295,967.40 : x
  2. Step 2: Convert to fraction form
    473,114.40/709,671.60 = 295,967.40/x
  3. Step 3: Cross multiply
    473,114.40x = 709,671.60 × 295,967.40
  4. Step 4: Simplify right side
    473,114.40x = 210,039,658,305.84
  5. Step 5: Solve for x
    x = 210,039,658,305.84/473,114.40
  6. Step 6: Final answer
    x = 443,951.10

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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.